Raul is 5 years older than twice Carlos age The sum of their ages is 101 How old is Carlos?

Answer 1

For this equation, we have two variables, C(arlos) and R(aul).

We know that C + R = 101

And R = 2C + 5.

Solve the top equation for R, and we get R = 101 - C.

If R = 101 - C AND 2C + 5, then they must be equal to each other.

We now have 101 - C = 2C + 5. We Add C to both sides, and subtract 5 from both sides.

That leaves us with 3C = 96. We now divide both sides by 3.

Now we have C = 32, which means that Carlos is 32 years old.

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The proper combined algebraic expression is the substitution from

R = 2C +5

R + C = 101

which is the sum

(2C +5) + C = 101

3C + 5 = 101

3C = 96

C = 32

There is no need to equalize 101-C with 2C+5 although they both represent Raul's age R.