Question

I need an answer quick

Andre came up the following puzzle. "I am 3 years younger than my brother I am 2 years older than my sister my mom's age is one less than three times my brothers age when you add all our ages you get 87 what are our ages?"
A) try the solve the puzzle

B) Jada writes this equation to sum up the ages:

`(x) + (x + 3) + (x - 2) + 3(x + 3) - 1 = 87`
explain the meaning of the available in each term of the equation.

C) write the equation with fewer terms

D) solve the problem if you hadn't already

Answer 1

Answer: Andre is: 13

Andre's brother is: 16

Andre's sister is:11

Andre's mom is: 47

Step-by-step explanation: Add there ages all together and you get: 87

Answer 2

My age is 13 years, my brother's age - 16 years, my sister's age is 11 years, my mom's age - 47 years.

Explanation:

Let x be my age.

I am 3 years younger than my brother, then my brother is (x+3) years old.

I am 2 years older than my sister, then my sister is (x-2) years old.

My mom's age is one less than three times my brother's age, then my mom's age is 3(x+3)-1.

When you add all our ages you get 87, then the equation that represents this situation is

`x+(x+3)+(x-2)+(3(x+3)-1)=87.`

Simplify this equation:

`x+x+3+x-2+3x+9-1=87,\\ \\x+x+x+3x=87-3+2-9+1,\\ \\6x=78,\\ \\x=13.`

My age is 13 years, my brother's age - 16 years, my sister's age is 11 years, my mom's age - 47 years.