Question

Rohan's mother is 26 years older than him. The product of their ages (in years)
3 years from now will be 360. Formulate the quadratic equation to find Rohan's
present age.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Rohan's present age is 7 years.

Step-by-step explanation:

Let Rohan's age be x years.

Then his mother's age is, (x + 26) years.

It is provided that: $(x+3)(x+29)=360$

Solve this equation for x as follows:

$(x+3)(x+29)=360\\x^{2}+29x+3x+87=360\\x^{2}+32x-273=0\\x^{2}+39x-7x-273=0\\x(x+39)-7(x+39)=0\\(x-7)(x+39)=0$

If (x - 7) = 0, the the value of x is 7.

If (x + 39) = 0, the the value of x is -39.

Since age cannot be negative, Rohan's age is 7 years.

Then his mother's age is, $x+26=7+26=33$ years.

Thus, Rohan's age is 7 years.