Question

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 .

Answer 1

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

Answer 2

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