Question

Taylor is 15 years younger than Marty. Twice Marty’s age added to three times Taylors age totals 205. What are the ages of Taylor & Marty?

Answer 1

Taylor's age = x = 35 years

Marty's age = y = 50 years

Explanation:

Let

Taylor's age = x

Marty's age = y

Taylor is 15 years younger than Marty.

x = y - 15

Twice Marty’s age added to three times Taylors age totals 205.

205 = 2y + 3x...... Equation 1

Therefore, we substitute y - 15 for x in

205 = 2y + 3x...... Equation 1

205 = 2y + 3(y - 15)

205 = 2y + 3y - 45

Collect like terms

205 + 45 = 5y

250 = 5y

y = 250/5

y = 50 years

x = y - 15

x = 50 - 15

x = 35 years

Solving for x

Therefore:

Taylor's age = x = 35 years

Marty's age = y = 50 years