Question

KIRAN is 24 years older than RAKESH . 10 years back age was 5 times the age of RAKESH . Find their ages

Answer 1

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Answer 2

Answer:

$\small{\sf{Kiran's\: age~is~40~years~and~Rakesh's~age~is~16~years}}$

Step-by-step explanation:

Given :

• Kiran is 24 years older than Rakesh
• 10 years back, Kiran's age was five times the age of rakesh

To finD :

• Age of Kiran and Rakesh

Solution :

Let Kiran's present age is x year.

Then, Rakesh present age is (x-24) years

Before 10 years :

• Kiran's age = present age - 10 => x - 10 years
• Rakesh's age = {(x-24)-10} => x - 34 years

According to the question :

10 years ago, Kiran's age = 5 times Rakesh's age.

∴ Kiran's age = 5 times Rakesh's age

=> x - 10 = 5 ( x - 34 )

=> x - 10 = 5x - 170

=> x - 5x = -170 + 10

=> -4x = - 160

=> x = $\small{\sf{ \frac{ - 160}{ - 4} }}$

=> x = 40

Hence,

$\small{\boxed{\pink{\sf{Kiran's~age~is~40~year}}}}$

And,

$\small{\boxed{\pink{\sf{Rakesh's~age~is~40-24~=> 16~years}}}}$