Question

Shalin's mother is thrice the age of Shalin.after 5 years, the ratio of their ages will be 5:2 .find their present ages.​

Answer 1

Answer:

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Answer 2

Given:

• Shalin's mother is thrice the age of Shalin.
• after 5 years, the ratio of their ages will be 5:2 .

To Find:

• find their present ages = ?

Solution:

let,

• shalin's age be x yrs
• her mother's age be 3 x yrs

let,

• Present age of Shalin after 5 yrs = x + 5
• Present age of her mother after 5yrs = 3x + 5

$\\ \dag \: { \underline { \sf{ \: According \: \: to \: \: Question}}}$

$\sf\dashrightarrow \frac{3x=5}{x+5}=\frac{5}{2}$

$\sf\dashrightarrow 2(3x+5)=5(x+5)$

$\sf\dashrightarrow 6x+10=5x+25$

$\sf\dashrightarrow x = 15$

${\bigstar{\red{\underline {\boxed {\sf{x = 15}}}}}}$

hence,

The present age of Shalin = x = 15 yrs

The present age of her mother = 3x = 3 × 15 = 45 yrs