Question

1) 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.

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Answer 1

Answer:

Let's assume Rohan's age is x year

So her mother's age would be x+26 years

After 3 years their ages would be (x+3) and (x+29) respectively

According to question

(x+3)×(x+29) = 360

x^2 + 29x + 3x + 87 = 360

x^2 + 32 x = 360-87

x^2 + 32 x = 277

Bringing 0 from opposite side

x^2 + 32 x -277 = 0

By splitting term method

(x+39)(x-7) = 0

Hence x either equals to -39 or 7 ( when finding x values from the factors above )

Age can't be negative so x = 7 years

Answer 2

Step-by-step explanation:

Let the age of Rohan be x years

Let Rohan's mother age be (x+26)

After 3 years

Rohan's age will be (x+3) years and

her mothers age will be (x+26+3)=(x+29)

According to question,

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

$x {}^{2} + 29x + 3x + 87 = 360$

$x { }^{2} + 29x + 3x + 87 - 360 = 0$

$x {}^{2} + 32x - 273 = 0$