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

Answer 1

Eli Assouline

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#

The age of his daughter is eleven.

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Answer 2

Eva Adamson

Let x be the daughter's age. The equation is 4x - 7 = 37. Solving for x, we find x = 11. So, Antonio's daughter is 11 years old.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.