Question

The ratio of rohans age 4 years ago and rahul age aftr 4 years is 1:1. If at present the ration of their age is 5:3 then find the ratio between rohans age 4 years hence and rahul's age 4 years ago

Answer 1

let present ages of Rohan and Rahul be 5x and 3x respectively. according to question,
$5x - 4 \div 3x + 4 = 1 \div 1$
by solving we get X is equals to 4 then their present ages will be 20 and 12 respectively. therefore the ratio between given condition will be 24÷ 8= 3: 1.

Answer 2

Given:

• The ratio of Rohans age 4 year's ago and Rahul's age 4 year's ago = 1:1
• The present ratio of their ages = 5:3

To Find:

• The ratio between Roham's age 4 years hence and Rahul's age 4 years ago.

Solution:

• We have Rohan's and Rahul's present age ratio as 5:3
• Rohan's present age is 5x
• Rahul's present age is 3x.
• So, $\frac{5x-4}{3x+4} = \frac{1}{1}$ ⇒ 5x-4 = 3x+4
• Separating the like terms and finding the value of x.
• ⇒ 5x-3x = 4+4 ⇒ 2x = 8
• x = 4
• Rohan's present age = 5x = 5*4 = 20 years.
• Rahul's present age = 3x = 3*4 = 12 years.

∴ The ratio between Roham's age 4 years hence and Rahul's age 4 years ago = (20+4)/(12-4) = 24/8 = 3/1 = 3:1