Question

Kiran is 24 years older than Rakesh 10 years back Kiran's age was five times the age of Rakesh find their ages

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

Assumption

Rakesh age be p

Therefore,

${\boxed{\sf\:{Kiran\;Age}}}$

= p + 24

Ten years back :-

${\boxed{\sf\:{Kiran\;Age}}}$

= p + 24 - 10

= p + 14

${\boxed{\sf\:{Rakesh\;Age}}}$

= p - 10

Situation :-

5(p - 10) = p + 14

5p - 50 = p + 14

5p - p = 14 + 50

4p = 64

$\tt{\rightarrow p=\dfrac{64}{4}}$

p = 16

${\boxed{\sf\:{Rakesh\;Age\;=16\;years}}}$

${\boxed{\sf\:{Kiran\;Age}}}$

= 16 + 24

= 40

$\Large{\boxed{\sf\:{Rakesh\;age=16\;and\;Kiran\;Age=40}}}$

Answer 2

$\boxed {\boxed {\large {SOLUTION}}}$

Let the age of Rakesh be x.

Kiran's will be ( x + 24 )

Before ten years

Rakesh = x - 10

Kiran = x + 24 - 10

= x + 14

Now,

According to Question

5 ( x - 10 ) = x + 14

==> 5x - 50 = x + 14

==> 5x - x = 14 + 50

==> 4x = 64

==> x = $\dfrac {64}{4}$

x = 16

______________

To Present ages :

( put the value of x )

Rakesh = 16 years old

Kiran = 16 + 24

= 40 years old.

__________________________

$\huge\mathbb\red {Be\:Brainly}$