Andre came up with the following puzzle. “I am three years younger than my brother, and I am 2 years older than my sister. My mom's age is one less than three times my brother's age. When you add all our ages, you get 87. What are our ages?”

Respuesta :

Answer:

Sister- 11 Years Old

Andre- 13 Years Old

Brother- 16 Years Old

Step-by-step explanation:

Multiply 16 times 3, minus 1= 47

Then add 11, 13, 16 and 47 up

You'll end up with 87 as your answer

Andre is 13 years old, his brother is 16 years old, his sister is 11 years old and his mother is 47 years old.

Let w represent Andre age, x represent his brothers age, y represent his sister age and z represent the mother age.

He is three years younger than his brother, hence:

w = x - 3

w - x = -3      (1)

He is 2 years older than his sister, hence:

w = y + 2

w - y = 2   (2)

My mom's age is one less than three times my brother's age, hence:

z = 3x - 1

3x - z = 1      (3)

When you add all our ages, you get 87, hence:

w + x + y + z = 87   (4)

Solving equations 1, 2, 3 and 4 simultaneously gives:

w = 13, x = 16, y = 11, z = 47

Hence Andre is 13 years old, his brother is 16 years old, his sister is 11 years old and his mother is 47 years old.

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