Solving Statements Involving Age


 
 
Concept Explanation
 

Solving Statements Involving Age

3 years ago, ram was 5 times as old as his sister. He is presently 3 times as old as his sister is now. Find their present ages.

Three years ago age of sister = x

Three years ago ram age = 5x

Present age of sister = x + 3

Present Age of Ram = 5x + 3

5x + 3 = 3(x+3)

5x + 3 = 3x + 9

5x-3x = 9-3

2x = 6

Sister age three years ago = 3years

Ram age three years ago = 5 X 3 years = 15 years

Sisternpresent age =  3+ 3 =6 years

Ram present age = 15+ 3 = 18 years.

Sample Questions
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Question : 1

The age of a father is equal to the square of the age of his son. The sum of the age of the father and five times the age of the son is 66 years. Find their present ages.

Right Option : A
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Question : 2

Anup is four times as old as his son. If the sum of their ages is 50, find their ages.

Right Option : C
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Explanation
Question : 3

The age of a man is same as his wife's age with the digits reversed. Then sum of their ages is 99 years and the man is 9 years older than his wife. The age of man and his wife is

Right Option : B
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Explanation
 
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