The ratio of the ages ofA and B 8 years ago was 2 3 Four years ago the ratio of their ages was 5 7 W...........

Quantitative Aptitude (CGL) Problems based on Ages

The ratio of the ages ofA and B, 8 years ago, was 2 : 3. Four years ago,the ratio of their ages was 5 : 7. What will be the ratio of their ages 8 years from now?

This questions was previously asked in

SSC CGL 5th March 2020 Shift-1

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4 : 5

5 : 6

7 : 8

3 : 4

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Explanation:

8 years ago the ratio of the ages of A and B = 2 : 3
Let the 8 years ago ages of A and B be 2x and 3x respectively.
4 years age of A = 2x + 4
4 years agoof B = 3x + 4
Four years ago,the ratio of their ages = 5 : 7

2x + 4 5
3x + 4 = 7

14x + 28 = 15x + 20
x = 8
8 years from now, Age of A = 2x + 16 = 2 8 + 16 = 32
8 years from now, Age of B = 3x + 16 = 3 8 + 16 = 40
Ratio of their ages 8 years from now = 32 : 40 = 4 : 5

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