Question

Amman is 3 times Arun's age and Asha is 2/3 of Amman's age 7 years ago the ratio of ages of Amman and Asha was 2/1, find their present ages.

Answer 1

Step-by-step explanation:

Let Arun's present age = x years

so, Amman's present age will be 3x years

so, Asha's present age will be 2/3 × 3x = 2x years

ATQ

7 years ago the ratio of ages of Amman and Asha was 2:1

$\frac{(3x - 7)}{(2x - 7)} = \frac{2}{1} \\ \\ 3x - 7 = 2(2x - 7) \\ \\ 3x - 7 = 4x - 14 \\ \\ - 7 + 14 = 4x - 3x \\ \\ x = 7$

So, present age of Arun will be 7 years

present age of Amman will be 3×7 = 21 years

present age of Asha will be 2×7 = 14 years

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