Question

the Rahul ages of and pushti are in the ratio 3 ratio 5 four years later the sum of their ages will be 48 what are their present ages

Answer 1

$\large \underline{ \underline{ \text{Question:}}}$

• The Rahul ages of and pushti are in the ratio 3 ratio 5 four years later the sum of their ages will be 48 what are their present ages.

$\large \underline{ \underline{ \text{Solution:}}}$

Let's,

• $\text{The present Age of Rahul be }3x.$

So,

• $\text{The present Age of Pushti should be }5x.$

After 4 years,

• $\text{The Age of Rahul be }3x + 4.$

And,

• $\text{The Age of Pushti should be }5x + 4.$

According to Question,

• The sum of their ages after 4 years is 48.

Can be written as,

$\implies (3x + 4) + (5x + 4) = 48$

$\implies 3x + 4 + 5x + 4 = 48$

$\implies 8x + 8= 48$

$\implies 8x = 48 - 8$

$\implies 8x = 40$

$\implies x = \frac{40}{8}$

$\implies \boxed{x = 5}$

As we assumed,

• $\text{The present Age of Rahul is }15. \: \: \: \: \: \{ 3(5) = 15\}$

And,

• $\text{The present Age of Pushti is }25. \: \: \: \: \: \{5(5) = 25 \}$

$\\ \large \underline{ \underline{ \text{Required Answer:}}}$

• The Present Ages Rahul and Pushti are 15 years and 25 years respectively.