Question

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

Answer 1

His daughter is 11 years old.

Explanation:

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

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

`37 = 4d - 7`

Add `color(blue)7` to both sides:
`37 quadcolor(blue)(+quad7) = 4d - 7 quadcolor(blue)(+quad7)`

`44 = 4d`

Divide both sides by `color(blue)4`:
`44/color(blue)4 = (4d)/color(blue)4`

`11 = d`

Therefore,
`d = 11`

His daughter is 11 years old.