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

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Answer 1 · 2018-07-27T04:30:48

His daughter is 11 years old.

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.