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8 votes
8 votes
the sum of the ages of the three Romano Brothers is 63 if their ages can be represented as consecutive integers what is the age of the Middle Brother

User Roanne
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1 Answer

9 votes
9 votes

Answer:

The age of the middle brother is 21.

Explanation:

This question can be solved using a system of equations.

I am going to say that their ages is x, y and z.

The sum of the ages of the three Romano Brothers is 63:

This means that:

x + y + z = 63

Their ages can be represented as consecutive integers

So y = x + 1, z = y + 1 = x + 1 + 1 = x + 2

x + y + z = 63

x + x + 1 + x + 2 = 63

3x + 3 = 63

3x = 60

x = 60/3

x = 20

x is the youngest

Middle: y = x + 1 = 20 + 1 = 21

The age of the middle brother is 21.

User Nhrcpt
by
2.8k points
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