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The present ages of A and B are in the ratio 4 : 3 respectively. Three years ago, the ratio of their ages was 7 : 5. Find the age of A after 4 years f
Question

The present ages of A and B are in the ratio 4 : 3 respectively. Three years ago, the ratio of their ages was 7 : 5. Find the age of A after 4 years from now (in years).

A.

20

B.

25

C.

32

D.

24

E.

28

Correct option is E

​​
Information Given in the Question:
Present age ratio of A : B = 4 : 3
3 years ago, their age ratio = 7 : 5
Find A's age 4 years from now
Detailed Explanation:
Let present ages be:
A = 4x
B = 3x
Three years ago:
A's age = 4x - 3
B's age = 3x - 3
According to the question:
4x33x3=75\frac{4x - 3}{3x - 3} = \frac{7}{5}​​
5(4x - 3) = 7(3x - 3)
20x – 15 = 21x - 21
21x - 20x = 21 – 15
x = 6
So, A's present age = 4x = 24
A's age after 4 years = 24 + 4 = 28 years

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