Question

# 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

A

x 2 + 32 x + 273 = 0

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B

x 2 + 32 x – 273 = 0

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C

x 2 - 32 x +273 = 0

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D

x 2 -32 x - 273=0

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Solution

## The correct option is D: x2+32x–273=0Let Ruhi’s age =x, then mother’s age =x+26After three years, Ruhi's age =(x+3) and her mother's age =(x+26+3)=(x+29) So after 3 years, it is given that the product of their ages is equal to 360. (x+3)(x+29)=360⇒x2+29x+3x+87=360 ⇒x2+32x−273=0

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