Question

Rohan's mother is 26 years older than him. The product of their ages 3 years from now will be 360. Formulate the quadratic equation to find their ages

Answer 1

Answer:

Step-by-step explanation:

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।