Math, asked by harsh399397, 11 months ago

rohan's mother is 26 years older than him. the product of their age (in years) 3 year from now will be 360. we would like to find rohan's present age​

Answers

Answered by Linna
37

Answer:

Rohan's present age is 7

Step-by-step explanation:

Given that mother is 26 years older than Rohan

Let 'x' be his age

Then mother's age=26+x

It is said that after 3 years their sum of ages will be 360

Rohan's age 3 yes from now is x+3

Rohan's mother age 3 yes from now is

(26+x)+3

=26+3+x

=29+x

Their Sum of ages is 360

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

Solve the equation.......

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

x^2+32x=360-87

x^2+32x=273

x^2+32x-273=0

x^2+39x-7x-273=0

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

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

x=7

x=-39

We take the positive value

So age of Rohan is 7 yrs and his mother is 7+26=33

Confirmation

(7+3)(33+3)=360

10*36=360

Hope it helps.........

plse mark me as brainliest.........

Answered by Prempundir389
3

Answer:

this is your ans

I hope it helps to you

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