Question

Kiran is years older than Rakesh. years back Kiran’s age was times the age of Rakesh.

Find their present ages.​

Answer 1

Answer:

To solve such a type question assume one person's age as xand getting the equation of second person’s age in terms of x. So let’s assume Age of Rakesh as x.

Kiran is 24 years older than Rakesh. So Kiran’s present age is x+24.

10 years ago Kiran’s age was five times the age of Rakesh.

10 years ago Kiran’s age was x+24−10=x+14.

10 years ago Rakesh’s age was x−10.

As 10 years ago Kiran’s age was five times the age of Rakesh so we can write as (x+14)=5(x−10).

So, (x+14)=5(x−10)

Simplifying, x+14=5x−50

Taking all x terms on right side and constant terms on left side of the equation,

So, 50+14=5x−x

So, 64=4x

Arranging the terms, 4x=64

Dividing the equation by 4 on both side, 4x4=644

So, x=16.

So, Rakesh’s present age is 16 years.

Step-by-step explanation:

Answer 2

Step by step explanation:

As 10 years ago Kiran's age was five times the age of Rakesh so we can write as $(x + 14) = 5(x - 10)$. So, $x = 16$. So, Rakesh's present age is 16 years.

Answer:

16 years

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