Question

The ratio of anu and priyal is 4:5.After ten years there ratio is 5"6 .Find their present ages.​

Answer 1

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Answer 2

Hey Friend!

Here is your answer:

Given,

Ratio of ages of Anu & Priyal is 4:5

Ratios of their ages after 10 years is 5:6

Let Anu's age be 4x yrs and Priyal's age be 5x yrs,

Then,

After 10 years:

Anu's age = 4x + 10 yrs

Priyal's age = 5x + 10 yrs

Ratio = (4x + 10) : (5x + 10)

but given ratio is 5:6

⇒  $\frac{( 4x + 10)}{(5x + 10)}$ = ⁵/₆

⇒ 6 (4x + 10) = 5 (5x + 10)

⇒ 24x + 60 = 25x + 50

⇒ 25x - 24x = 60 - 50

⇒ x = 10 yrs

∴ Anu's age is 4 × 10 = 40 yrs

Priyal's age is 5 × 10 = 50 yrs

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