Question

the sum of ages of avtar and Gaurav is 70 years.Avtar is 4 years older than harinder.The ratio of the ages of Gaurav and Harinder is 5:6 What was the age of avtar 5 years ago​

Answer 1

Answer:

Sum of their ages = 70

Age of avtar = 5x + 4

Age of gaurav = 6x

5x +4 +6x = 70

11x + 4 = 70

11x = 70 - 4

11x = 66

x = 66 / 11

x = 6

Answer 2

Age of Avtar 5 years ago 35 Years

Given:

• The sum of ages of Avtar and Gaurav is 70 years.
• Avtar is 4 years older than Harinder.
• The ratio of the ages of Gaurav and Harinder is 5:6

To Find:

The age of Avtar 5 years ago

Solution:

Step 1:

Assume that the ages of Gaurav and Harinder are

5x and 6x  years  respectively

Step 2:

Avtar is 4 years older than Harinder hence, Age of Avtar is:

6x + 4 Years

Step 3:

The sum of ages of Avtar and Gaurav is 70 years hence  

6x + 4 + 5x  =  70

=> 11x = 66

=> x = 6

Step 4:

Substitute x = 6 and calculate Avtar age

6x + 4  = 6(6) + 4  = 40  Years

Step 5:

Calculate Avtar age   5 years ago

40  - 5 = 35 Years

Age of Avtar 5 years ago 35 Years