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A question is presented with the following answer choices:
24 years
21 years
18 years
27 years
24 years
Since the ratio of Ravi to Kishan is 7 : 8, the difference in parts is 8 - 7 = 1 part. Given this difference is 3 years, 1 part = 3 years. Kishan's age is 8 parts, so 8 ├Ч 3 = 24 years.
Ravi is 3 years younger than Kishan. The ratio of their ages is 7 : 8.
K=8тИТ78тАЛ├Ч3
Since the ratio of Ravi to Kishan is 7 : 8, the difference in parts is 8 - 7 = 1 part. Given this difference is 3 years, 1 part = 3 years. Kishan's age is 8 parts, so 8 ├Ч 3 = 24 years.
Confusing the ratio order and calculating Ravi's age instead of Kishan's, or incorrectly assigning the age difference to the total sum.
Define ages based on ratio
Let the common ratio multiplier be x. Therefore, Ravi's age is 7x and Kishan's age is 8x.
Ravi=7x,Kishan=8x
Set up the equation
The problem states Ravi is 3 years younger than Kishan, which means their age difference is 3 years.
8xтИТ7x=3
Solve for x
Subtracting 7x from 8x yields x=3.
x=3
Calculate Kishan's age
Substitute x=3 into Kishan's age expression 8x.
Kishan=8├Ч3=24
A is correct because by setting the ratio difference 8xтИТ7x=3, we find x=3, leading to Kishan's age 8├Ч3=24 years.
This ratio-based difference technique is highly applicable in speed-time problems where the ratio of speeds of two vehicles is given and the difference in their arrival times is known.
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