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
[tex]x+2(x+2)=37\\x+2x+4=37\\3x=37-4\\3x=33[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{33}{3}\\x=11[/tex]
Sabrina is 11 years old.
Keywords: linear equation, division
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