Question

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

Answer 1

Answer:

Let Rohan's age = x

Rohan's mother age = x + 26

After 3 years

Rohan's age = x + 3

Rohan's mother age = (x+26) + 3 = x + 29

Now,

Product of ages after 3 years = 360

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

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

x² + 29x + 3x + 87 = 360

x² + 29x + 3x + 87 - 360 = 0

x² + 32x - 273 = 0

It is the form if ax² + bx + c = 0

When a = 1, b =32, c = -273

Hence, it is a quadratuc equation.

Answer 2

Given :- Rohan's mother is 26 years older than him. The product of their ages in years 3 years from now will be 360.

To Find :- Rohan's present age ?

Solution :-

Let us assume that, rohan present age is x years.

so,

→ Rohan's mother present age = (x + 26) years .

then,

→ 3 years hence, rohan will be = (x + 3) years old.

→ years hence, Rohan's mother will be = (x + 26 + 3) = (x + 29) years old.

A/q,

→ (x + 3)(x + 29) = 360

→ x² + 29x + 3x + 87 = 360

→ x² + 32x - 273 = 0

→ x² + 39x - 7x - 273 = 0

→ x(x + 39) - 7(x + 39) = 0

→ (x + 39)(x - 7) = 0

→ x = (-39) and 7

since negative value is not possible.

Therefore, Rohan's Present age is 7 years.

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