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 . Find zeroes

Answer 1

Answer:

7

Step-by-step explanation:

Let Rohan's present age be R and his mom's be M.

M=26+R

(M+3)(R+3)=360

(R+29)(R+3)=360

R²+32R-273=0

R= -39 or R=7

age cannot be negative.

so R=7

Answer 2

$\large\sf{Let,}$

$\small\sf{age\:of\:rohan=x}$

$\small\sf{age\:of\:mother=x+26}$

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$\small\sf{3\:years,hence,}$

$\small\sf{rohan's\:age=x+3}$

$\small\sf{mother's\:age=x+26+3}$

$\small\sf{=x+29}$

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$\small\sf{product=360}$

$\small\sf{(x+3)(x+29)=360}$

$\small\sf{{x}^{2}+29x+3x+87=360}$

$\small\sf{{x}^{2}+32x-273=0}$