Question

30% of man's age exceeds one fifth of his age by 6 years find the age of a man

Answer 1

Let the man’s age be x.

Thus, 30% of his age = 30/100 *x = 0.3x

This exceeds one fifth of his age by 6 years. This implies

0.3x = 1/5x + 6

=>0.3x = x/5 + 6

=>0.3x - x/5 = 6

=>(1.5x - x)/5 = 6

=>0.5x = 30

=>x = 30/0.5

=>x = 300/5

=>x = 60.

Therefore, the man’s age is 60 years.

Answer 2

Given:

30 % of mans age = 1 / 5 of the mans age + 6 years

To find:

The age of the man.

Solution:

30 % of the mans age = 30 / 100

0.3 of the mans age

Solving,

0.3 of mans age  = 1/5 of the mans age + 6 years

Grouping the mans age,

0.3 of mans age - 1/5 of the mans age = 6 years

( 1.5 - 1 ) of the mans age / 5 = 6 Years

0.5 of the mans age = 30

The mans age = 30/0.5

The mans age = 60 years