I am 3 years younger that my brother, and I am two years older than my sister. My mom age is one less than 3 times my brother age. When you add all our ages, you get 87. What are our ages?

Question

Mathematics

Clara Collier

Today, 15:46

I am 3 years younger that my brother, and I am two years older than my sister. My mom age is one less than 3 times my brother age. When you add all our ages, you get 87. What are our ages?

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Answers (1)

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Jocelyn Gibson · Answer 1

Step-by-step explanation:

Let x represent my age.

I am 3 years younger that my brother. It means that my brother's age is x + 3

I am two years older than my sister. It means that my sister's age is x - 2

My mom age is one less than 3 times my brother age. It means that my mum's age is 3 (x + 3) - 1

When you add all our ages, you get 87. It means that

x + x + 3 + x - 2 + 3x + 9 - 1 = 87

6x + 9 = 87

6x = 87 - 9 = 78

x = 78/6 = 13

My age is 13 years

My brother's age is 13 + 3 = 16 years

My sister's age is 13 - 2 = 11 years

My mom's age is 3 * 13 + 8 = 47 years