The sum of Sabrina's age and twice her sister's age is equal to their mom's age. If Sabrina's sister is two years older than her

Question

3 years ago

10

and their mom is 37, how old is sabrina?

1 answer:

swat32 · Answer 1 · 2022-05-14T13:44:55+03:00

Sabrina is 11 years old.

Step-by-step explanation:

Let,

Sabrina's age = x

Her sister's age = y

Her mother's age = z

According to given statement;

The sum of Sabrina's age and twice her sister's age is equal to their mom's age.

x+2y=z Eqn 1

If Sabrina's sister is two years older than her

y = x+2 Eqn 2

their mom is 37

z = 37 Eqn 3

Putting value of y and z from equation 2 and 3 in Eqn 1

$x+2(x+2)=37\\x+2x+4=37\\3x=37-4\\3x=33$

Dividing both sides by 3

$\frac{3x}{3}=\frac{33}{3}\\x=11$

Sabrina is 11 years old.

Keywords: linear equation, division

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