Question

if mother is 47 years older than the son , find son's age if after 6 years the ratio of ther ages is 1/2​

Answer 1

Appropriate Question:

• If mothers' age is 47 years older than her son, find sons' age if after 6 years the ratio of their ages is 1/2.​

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Given: Mother is 47 years older than the son, and the ratio of their ages is 1:2​

Need to Find: Son's age if after 6 years.

❒ Let the age of son be x and the mothers age be x + 47.

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After 6 years,

$:\implies \sf x + 6 --- \bf{son}\\\\:\implies \sf x + 47 + 6 --- \bf{mother}\\\\:\implies \sf x + 53$

$:\implies \sf \dfrac{x + 6}{x + 53}= \dfrac{1}{2}\\\\:\implies \sf 2x + 12 = 12 = x+ 53 \\\\:\implies \sf x = 53- 12 \\\\:\implies \underline{\boxed{\sf x = 41 \; years }} \; \bigstar$

$\therefore \underline{\sf The \; son \; is \; 41 \; years \; old.}$