Question

Sarah's mother 5 times as old as Sarah In 12 years time Sarah's mother will be 3 times as old as her. how old Sarah now​

Answer 1

❍ Let the present age of Sarah be x and her mother's age is 5x

A/Q,

• After 12 years, her mother will be 3 times as old as her.

Their ages after 12 years :

$\sf : \; \implies Sarah's \; age \; = \; (x + 12 ) \; years$

$\sf : \; \implies Mother's \; age \; = \; (5x + 12 ) \; years$

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T H E R E F O R E

$\sf : \; \implies 3( x + 12 ) = 5x + 12$

$\sf : \; \implies ( 3 \times x ) + ( 3 \times 12 ) = 5x + 12$

$\sf : \; \implies 3x + 36 = 5x + 12$

$\sf : \; \implies 5x - 3x = 36 - 12$

$\sf : \; \implies 2x = 24$

$\sf : \; \implies x = \dfrac{12}{2}$

$\sf : \; \implies x = 12$

M O T H E R' S A G E :

$\sf : \; \implies Mother's \; age \; = \; 5 x$

$\sf : \; \implies Mother's \; age \; = \; [ \; 5 \times 12 \; ] \; years$

$\sf : \; \implies Mother's \; age \; = \; 60 \; years$

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•  Henceforth, Sarah is 12 years old now.

Answer 2

★ Ánswer

• Sarah's mother is 5 times as old as Sarah.

Let the present age of the Sarah be x and her mother's age be 5x.

» In 12 yrs later,

Sarah's mother will be 3 times as old as Sarah.

→ Sarah's age = (x + 12) yrs

→ Sarah's mother age = (5x + 12) yrs

→ 3(x + 12) = (5x + 12)

→ 3x + 36 = 5x + 12

→ 36 – 12 = 5x - 3x

→ 24 = 2x

→ 24/2 = x

→ x = 12

Hence,

The Present age of the Sarah is 12 years.