Question

11.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

Step-by-step explanation:

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: Present ages of both

Solution:

let the present age of Rohan's mother is x years and Rohan's age is y years .

As Rohan mother is older than 26 years,

So

Rohan's age in terms of x is (x-26) years.

After three years age of mother is (x+3) and age of Rohan is (x-26+3) years,(x-23) years.

Product of both ages is 360.

$(x + 3)(x - 23) = 360 \\ \\ {x}^{2} - 23x + 3x - 69 = 360 \\ \\ {x}^{2} - 20x - 429 = 0 \\ \\ {x}^{2} - 33x + 13x - 429 = 0 \\ \\ x(x - 33) + 13(x - 33) = 0 \\ \\ (x - 33)(x + 13) = 0 \\ \\ x = 33 \\ \\ or \\ \\ x = - 13$

Discard the negative value.

Thus,

Present age of Rohan's mother is 33 years and Rohan's age is (33-26)= 7 years.

Hope it helps you.

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Answer 2

Answer:

this is your ans

I hope it helps to you