Jeremy, Sue, and Holly are siblings. Sue was born three years before Holly, and Jeremy was born five years before Sue. The product of Sue's age and Jeremy's age is at most 150. If x represents the age of Holly, which inequality can be used to find the age of each sibling?

Question

Mathematics

Heather Hernandez

22 August, 14:05

Jeremy, Sue, and Holly are siblings. Sue was born three years before Holly, and Jeremy was born five years before Sue. The product of Sue's age and Jeremy's age is at most 150. If x represents the age of Holly, which inequality can be used to find the age of each sibling?

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Liberty Hill · Answer 1

The inequality would be (x+3) (x+8) ≤150.

Letting x be Holly's age, we know Sue was born 3 years before her, so Sue is 3 years older; this means Sue's age is x+3.

Jeremy was born 5 years before Sue, so he is 5 years older than her; this means his age is (x+3) + 5 = x+8.

Their product is no more than 150; therefore (x+3) (x+8) ≤150.