Antonio is seven less than four times his daughter's age. Antonio is 37; how old is his daughter?

Jul 27, 2018

His daughter is 11 years old.

Explanation:

Let's let $d$ be the age of Antonio's daughter.

"seven less than four times" is $4 d - 7$ and we know that Antonio is $37$, so we can make an equation and solve:

$37 = 4 d - 7$

Add $\textcolor{b l u e}{7}$ to both sides:
$37 \quad \textcolor{b l u e}{+ \quad 7} = 4 d - 7 \quad \textcolor{b l u e}{+ \quad 7}$

$44 = 4 d$

Divide both sides by $\textcolor{b l u e}{4}$:
$\frac{44}{\textcolor{b l u e}{4}} = \frac{4 d}{\textcolor{b l u e}{4}}$

$11 = d$

Therefore,
$d = 11$

His daughter is 11 years old.