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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

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

Let Rohan's age be x .......
Therefore Rohan's mom's age is x+26......
Now Roahn age after 3 yrs x+3 and his mothers age after three years x+29......
Now we know (x+3)(x+29) = 360 ......
... x²+3x+29x+87 = 360 ......
x²+32x+87=360 .......
x²+32x=360-87 ......
= 273
x(x+32)=273
After solving we get x=7
So, age of Rohan = 7 yrs
The solution for how to get x is
Take one factor of the equation x²+32x-273 = 0
First factorise ....
Factors are x-7 and x+32 ......
So take any one factor and solve it and you will get two solutions of the quadratic equation......
X-7.....x=7
And
x+32.....x=-32
Now put your logic age can't be in minus so x=7 is correct solution for this question...Hence solved

Let the age of rohan be x so the mothers age is x + 26 after 3 years rohans age x+3 mothers age x+29 therefore we know (x+3)(x+29) = 360 x square + 29x + 3x + 87 = 360 x square + 32x - 187 = 0 now we can solve it by perfect square method