Question

Five year ago Rahul father was five times Rahul's age at present sum of Rahul and his father's age is 40 years what are the present age of Rahul and his father age is 40 years what are the present age of Rahul and his father

Answer 1

Answer:

Five years ago, let father's age be 5x

and let Rahul's age be x

At the present, sum of their ages = 40

→ 5x + 5 + x + 5 = 40 years

→ 6x + 10 = 40

→ 6x = 40 - 10

→ 6x = 30

→ x = 5

Therefore Rahul's age = 5 years

And father's age = 40 - 5 = 35 years

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Answer 2

Concept:

Here, we will use the concept of age and will form equations and then solve. Initially we will assume the present age of both as variables and then solve.

Given:

Five year ago Rahul father was five times Rahul's age . Sum of Rahul and his father's age is 40 years.

To find:

Present age of Rahul and his father.

Solution:

Let the present of Rahul be x and his father's be y.

∴ Five year ago Rahul father was five times Rahul's age at present

∴ (y-5) = 5(x-5)

∴ 5x - y = 20 ....1

Sum of Rahul and his father's age is 40 years.

∴ x + y = 40 ....2

Solving 1 & 2, we get

x =  10 & y = 30

Thus present age of Rahul and his father are 10 years and 30 years respectively.

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