Question

Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many
years the ratio of their ages will become 5: 4?
age w​

Answer 1

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Answer 2

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$\bold {Solution:}$

let the ratio of the ages of of Vatasala and Sara will be come 5:4 after x years.

Then after x years,

Vatasala's age will be $(14+x)$ years and that of Sara will be $(10+x)$ years.

From the given condition,

$(14+x) : (10+x) = 5:4$

$∴\frac{14+x}{10+x}$ = $\frac{5}{4} ∴ 4(14+x) = 5(10+x)$

$∴56+4x=50+5x ∴50+5x=56 +4x$

$∴ 5x-4x = 56-50 ∴x=6$