Ruhi’s mother is 26 years older than her. The product of their ages (in years) 3 years from now will be 360. Form a Quadratic equation so as to find Ruhi’s age

### Asked by arajeevshashank | 25th Jun, 2020, 07:34: PM

Expert Answer:

### Let Ruhi's age be x years
Her mother's age will be (x+26) years
After 3 years, their ages will be
Ruhi's age = (x + 3) years
Mother's age = (x + 29) years
Product of their ages will be 360
(x + 3)(x + 29) = 360
x^{2} + 32x + 87 = 360
x^{2} + 32x - 273 = 0
x^{2} + 39x - 7x - 273 = 0
x(x + 39) - 7(x + 39) = 0
(x + 39) (x - 7) = 0
x = -39 or x = 7
Since, age cannot be negative
Therefore, x = 7
Hence Ruhi's present age will be 7 years.

^{2}+ 32x + 87 = 360

^{2}+ 32x - 273 = 0

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

### Answered by Renu Varma | 26th Jun, 2020, 06:13: PM

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