Question

. The present ages of Sonu and Monu are in the ratio 4 : 5.

Eight years from now, the ratio of their ages will be 5:6.

Find their present ages.​

Answer 1

Given

The present ages of Sonu and Monu are in the ratio 4 : 5. Eight years from now, the ratio of their ages will be 5:6.

To find

Find the present ages of Sonu and Monu

Solution

★Let the present ages of Sonu be 4x and Monu be 5x

According to the given condition

• After eight years
• Sonu's age = 4x + 8
• Monu's age = 5x + 8

→ 4x + 8/5x + 8 = 5/6

→ 6(4x + 8) = 5(5x + 8)

→ 24x + 48 = 25x + 40

→ 48 - 40 = 25x - 24x

→ x = 8

Hence,

Present age of Sonu = 4x = 4*8 = 32yrs

Present age of Monu = 5x = 5*8 = 40yrs

Answer 2

$\sf Let \: The \: Present \: Age \: of \: sonu \: = 4x$

$\sf \: Present \: Age \: of \: Monu = 5x$

$\color{blue} \sf \: 8 \: Years \: later,$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \color{red} Sonu \: Age = 4x + 8$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \color{red}Monu \: Age = 5x + 8$

$\large \sf \color{lime} \frac{4x + 8}{5x + 8} = \frac{5}{6}$

$\sf \: Multipl e \: both \: sides \: by \: 5x + 8$

$\: \: \: \: \: \to\sf \: 4x + 8 = \frac{5}{6} (5x + 8) \times 6$

$\: \: \: \: \: \to\sf \: 24x + 48 = 25x + 40$

$\: \: \: \: \: \to\sf \: 48 - 40 = 25 \times 24x$

$\: \: \: \: \: \sf \red{\to }\: x = 8$

$\underline{\underline{ \boxed{ \sf \color{red}sonu = 32 \: years}}}$

$\underline{ \underline{ \boxed{ \sf \color{red}monu = 40 \: years}}}$