Question

Tamara has two sisters. One of the sisters is 7 years older than Tamara. The other sister is 3 years younger than Tamara. The product of Tamara's sisters' ages is 24. How old is tamara?

Answer 1

Age of tamara=5years

Explanation:

lets assume that age of tamara is Z and Tamara sister's age are X and y

according to Question:

one sister is 7 years older than tamara:

i.e. X=Z+7...........1

Other sister is 3 years younger than tamara:

Y=Z-3.....................2

product of tamara 's sisters age is 24

XY=24...........................3

multiply eqn1 and eqn2

`XY=Z^2 +4Z -21`

put value of XY from eqn2

`24=Z^2 +4Z -21`

on solving this equation

Z=5, -9

we got two values of Z but one of them is negative and age can not be negative so

Z=5years

hence,

Age of tamara=5years