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2r - 5m) Roban's mother is 26 years older than him. The product of their ages (in years)3 yyears fromm now will be 360. We would like to find Rohan's present age.Exam

Answer»

Let Rohan's age be x Therefore Rohan's mom's age = x+26. Now Rohan 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...

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