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]

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Solution

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 $= 24$

$\Rightarrow x + 13 = 24$

$\Rightarrow x = 11$

The expression for Gaurav's age for 20 years from now = $x + 20$

After 20 years, Gaurav's age will be:

$x + 20$

$11 + 20 = 31 y e a r s$

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 = $63 - 20 = 43 y e a r s$

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