Question

The ages of Antony and Benny are in the ratio 9 : 4. In 8 years, the ratio of their ages will be 7 : 4. Find their present ages.

Answer 1

Question ⤵️

The ages of Antony and Benny are in the ratio 9 : 4. In 8 years, the ratio of their ages will be 7 : 4. Find their present ages ?

A᭄ɴsᴡᴇʀ ⤵️

$let \: the \: measures \: be \: x \\ so \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \frac{9x + 8}{4x + 8} = \frac{7}{4} \\ = > 4(9x + 8) = 7(4x + 8) \\ = > 36x + 32 = 28x + 56 \\ = > 36x - 28x = 56 - 32 \\ = > 8x = 24 \\ = > x = \frac{24}{8} \\ = > x = 4$

Antony - 9 × 4 => 36 years

Benny - 4 × 4 => 16 years

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