Question

Rohan's mother is 26 years older than him. The product of the ages (in years) 3 years from now will be 360. We would like to find rohans present age.

Answer 1

Question:

Rohan's mother is 26 years older than him. The product of the ages (in years) 3 years from now will be 360. We would like to find rohans present age.

Answer:

Rohan's current age=7 yrs

Explanation:

• Let Rohan's age be X
• Hence, his mother's age=x+26

3 yrs hence,

Rohan age=x+3

Mother's age=x+26+3=x+29

It given that product of their ages after 3 years is 360.

Therefore,

(x+3)(x+29)=360

Step 1: Simplify both sides of the equation.

$\tt x^2+32 {}^{2} +87=360$

Step 2: Subtract 360 from both sides.

$\sf x^2+32x+87−360=360−360 \\ \sf \: x^2+32x−273=0$

Step 3: Factor left side of equation.

(x−7)(x+39)=0

Step 4: Set factors equal to 0.

x−7=0 or x+39=0

x=7 or x=−39

x=7

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