Question

Present ages of Anu and Raj are in the ratio 4:5. Eight years from now
the ratio of their ages will be 5:6. Find their present ages.

well explained answer only!

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Answer 1

Answer:

$\huge\textbf{Answer:-}$

Let the present ages of Any and Raj be 4x and 5x so, the years after eight years anu's age will be 4x + 8 years, and after eight years Raj's age will be 5x+8 years.

Therefore , the ration of their both age after eight years is :-

$\frac{4x + 8}{5x + 8}$

The given to be 5:6

Therefore,

$\frac{4x + 8}{5x + 8} = \frac{5}{6}$

We need to Cross multiply:-

$= > 6(4x + 8) = 5(5x + 8)$

$= > 24x + 48 = 25x + 40$

$= > 24x + 48 - 40 = 25x$

$= > 24x + 8 = 25x$

$= > 8 = 25x - 24x$

$= > 8 = x$

Therefore, the value of x is 8 and the anu's Present age is 4x = 4 × 8 = 32 years And Raj's present age is 5x = 5 × 8 = 40 years.

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Answer 2

Answer:

$\huge\textbf{Answer:-}$

Let the present ages of Any and Raj be 4x and 5x so, the years after eight years anu's age will be 4x + 8 years, and after eight years Raj's age will be 5x+8 years.

Therefore , the ration of their both age after eight years is :-

$\frac{4x + 8}{5x + 8}$

The given to be 5:6

Therefore,

$\frac{4x + 8}{5x + 8} = \frac{5}{6}$

We need to Cross multiply:-

$= > 6(4x + 8) = 5(5x + 8)$

$= > 24x + 48 = 25x + 40$

$= > 24x + 48 - 40 = 25x$

$= > 24x + 8 = 25x$

$= > 8 = 25x - 24x$

$= > 8 = x$

Therefore, the value of x is 8 and the anu's Present age is 4x = 4 × 8 = 32 years And Raj's present age is 5x = 5 × 8 = 40 years.