Let sunitha's present age be x years
Then Sunitha's age after 10 years = (x + 10)years
sunitha's age 6 years back = (x - 6)years
therefore x + 10 = 6 (x - 6) <==> x + 10 = 6x - 36 <==> 5x = 46
so x = 46/5 = 9.2
hence Sunitha,s present age is 9.2 years.
2.
Savitri is younger than Saritha by 8 years. The percentage of ages are 4:6 respectively then what is the age of Savitri?
Let us assume the age of Saritha is A,
then the age of Saritha is A-8.
Percentage of ages of Savitri and Saritha is 4:6 respectively.
So (A - 8/A) = (4/6)
-----> 6A - 48 = 4A
-----> 2A = 48
------> A = 24
finally Age of Saritha is 24 years
So Age of Savitri is A - 8 = 16years.
3.
Ramu's age is half of the age of Ramesh 10 years ago. Present ages ratio is 3:4, then what will be their present ages total?
Let us assume Ramu' present age is A
Ramesh's present age is B
then (A - 10) = 1/2 × (B - 10) ---> equ1
Given A/B = 3/4
then A = 3B/4
Put A = 3B/4 into equ1
then,
(3B/4 - 10) = 1/2 × (B - 10)
3B - 40/4 = B - 10/2
(3B - 40) × 2 = (B - 10) × 4
6B - 80 = 4B - 40
2B = - 40 + 80
2B = 40
B = 20
so Ramesh age is 20 years
Substitute in A/B ratio
A/20 = 3/4
A = 3/4 × 20
A = 3 × 5
A = 15
so Ramu age is 15years
Total of present ages Ramu and Ramesh is = 15 + 20
= 35 YEARS
4.
20 years ago the age of Navya is 12 times more than Nitya. The present age of Navya is twice the age of Nitya. So what is the age of Nitya at present?
Let us assume Navya's present age is A
Nitya's present age is B
But now A = 2B -----> Equ1
Before 20 years back the ages are
A - 20 = 12(B - 20)
PUT A = 2B then
2B - 20 = 12B - 240
12B - 2B = -20 + 240
10B = 220
B = 22 years.
So present age of Navya is 22years.
5.
Ramu's age is 2times more than Ramba. But 10years ago Ramu's age is 4times more than Ramba. What is the present age of Ramu?
Let us assume Ramu's present age is X
Ramba's present age is Y
Given X = 2Y ------> Equ1
but 10years ago X - 10 = 4 (Y - 10)
X = 2Y Into X - 10 = 4 (Y - 10),
ie 2Y - 10 = 4 (Y - 10)
-->4Y - 2Y = 40 - 10
--->2Y = 30
ie Y = 15
so Ramba's present age is 15years
Ramu's present age is X = 2Y = 2 × 15 = 30years.
6.
The present ages ratio of Ram and Rahim is 6:7, the age difference between them is 4years. Find the percentage of ages of Ram and Rahim after 4years?
Let us assume Ram's age is 6a years
Rahim's age is 7a years.
According to the question 7a - 6a = 4,
ie a = 4years,
We need the percentages of ages after 4years,
so (6a + 4) : (7a + 4)
(6 × 4 + 4) : (7 × 4 + 4)
------> 28 : 32 = 7 : 8
ie Percentage of ages of Ram and Rahim after 4years is 7 : 8 .
7.
The age of mrs Nirupama is 5 times the age of her daughter.After 12 years the age of mrs. Nirupama will be only twice the age of her daughter.Find the present age of mrs.Nirupama and daughter?
Let us assume Nirupama's present age is A
Nirupama's daughter age is D
According to the question A = 5D
A + 12 = 2 (D + 12)
5D + 12 = 2D + 24
3D = 12
D = 4years
So Nirupama's daughter age is 4 years.
and Nirupama's age is 20 years
8. 3years before the age of Arjun is 7times as old as Bheema.After 3years Arjun's age is 4times more than Bheema,then find the present ages of Arjun and Bheema?
Let us assume Arjun's present age is A
Bheema's present age is B
So Before 3 years, (A - 3) = 7 (B - 3)
-------> A - 3 = 7B - 21
-------> A - 7B = -18 ----> EQU1
Next after 3 years,(A + 3) = 4 (B + 3)
-------> A + 3 = 4B + 12
-------> A - 4B = 9 -----> EQU2
Combine EQU1 and EQU2,
A - 7B = -18
A - 4B = 9
--------> -3B = -27
So finally ----------> B = 9
Put B = 9 in EQU1
A - 7 * 9 = -18,
A + 18 = 63, A = 45
So Arjun's present age is 45years,
Bheema's present age is 9years.
9. Before 10 years A was 3times more age than B, but after 10years A' age is 2times more than B's age. Find the present ages of A and B?
According to question,
Before 10years-> A - 10 = 3 (B - 10)
-------> A - 10 = 3B - 30
------>A - 3B = -20 ----> eq(1)
After 10years
A + 10 = 2 (B + 10)
------> A - 2B = 10 ----> eq(2)
solve eq 1 & 2
A - 3B = -20
A - 2B = 10
----------
-B = -30
B = 30,substitute"r" in either eq 1 or 2
A - 3B = -20
A - 90 = -20
A = -20 + 90
So finally A's age is 70years
B's age is 30years.
10.
The present ages percentage of Dhoni and Virat is 5:7, Find their present ages total when the difference between Virat's present age and Dhoni's age after 6years is 2?
Let us assume Dhoni's present age is 5A.
Virat's present age is 7A.
According to question, their age different after 6years is 2
then (7A) - (5A + 6) = 2
-----> 2A = 8
------> A = 4 ----> equ(1)
So total of Dhoni's and Virat's present ages is 5A + 7A = 5 × 4 + 7 × 4 = 48years.
11.
The sum of the present ages of Vishnu and Vinayak is 56years.Vishnu's age is 3times more than Vinayak after 4years. What are the present present ages of Vishnu and Vinayak?
Let us assume The age of Vinayak is X years,
then the age of Vishnu is (56 - X)Years.
According to the question after 4years,
----> (56 - X) + 4 = 3 (X + 4)
----> 60 - X = 3X + 12
----> 4X = 48
----> X = 12
So Age of the Vinayak is 12years
and Age of the Vishnu is (56 - 12) = 44years.
12.
Before 5years Raj's age is 1/3 rd of the age Rani. Present age of Raj is 17years, then find the Present age of Rani?
Let us assume Present age of Rani is R.
According to question, before five years
-----> 17 - 5 = 1/3 (R - 5)
-----> 12 × 3 = R - 5
-----> R = 41.
So finally Rani's age is 41Years.
13.
The difference between the ages of Becham and Rooney is 10years.15years before Becham is 2times more age than Rooney, Then what are their present ages?
Letus assume Becham's present age is B,
then Rooney's present age will be B-10.
According to question, 15years before
----> (B - 15) = 2 (B - 10 - 15)
----> B - 15 = 2B - 50
----> B = 35
So Becham's present age is 35years.
Rooney's present age is (35 - 10) = 25years.
14.
The present age ratio of Brother and sister is 4:1. If we multiply their present ages the result is 196, So find the ratio of their ages after 5years?
Let us assume the present age of Brother is 4B,
then the present age of sister is B.
According to the question,if we multyply their ages
-------> ie 4B × B = 196
-------> B × B = 49
-------> B = 7.
sO Brother's age after 5years is (4B + 5) = 4 × 7 + 5 = 33years,
Sister's age after 5years is (B + 5) = 7 + 5 = 12years.
15.
Age ratios of Venkaiah and Veraiah at present is 4:3, After 6years Venkaiah's age is 26years. Find the present age of Veraiah?
Let us assume Venkaiah's present age is 4V
Veraiah's present age is 3V.
According to question, after 6years
------> 4V + 6 = 26
------> 4V = 20 ---> V = 5.
So Veraiah's present age is 3V = 15years.
16.
The ratios of ages of Unmukh and Raina at present and after 5years is 6:1,7:2 respectively,Find their present ages?