Question
In thirteen years Gaurav will be twenty-four years old. Write the expression for Gaurav's age for 20 years from now. If after 20 years his father's age is 3 years less than 6 times Gaurav's present age. What is Gaurav's father's present age? [3 MARKS]
Answer: Option A
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Framing the equation: 1 Mark
Steps: 1 Mark
Result: 1 Mark
Let the present age of Gaurav be x.
According to question, In 13 years, Gaurav' age =24
⇒x+13=24
⇒x=11
The expression for Gaurav's age for 20 years from now = x+20
After 20 years, Gaurav's age will be:
x+20
11+20=31 years
Since Gaurav's present age is 11 years
∴ After 20 years father's age will be = 6(11)−3=66−3=63
Hence, father's present age = 63−20=43 years
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