David Young

2021-12-17

Katrina has two sisters. One of the sisters is 7 years older than Katrina. The other sister is 3 years younger than Katrina. The product of Katrinas

zurilomk4

Expert

Step 1
Given:
Katrina has two sisters.
one of the sisters is 7 years older than Katrina.
the other sister is 3 years younger than Katrina.
the product of Katrinas

soanooooo40

Expert

Lets

nick1337

Expert

lets assume that age of tamara is Z and Katrina 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=5 years
hence,
Age of Katrina =5 years

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