Devaughn is 14 years younger than Sydney. The sum of their ages is 76. What is Sydney’s age?

Question

Solving a word problem with two unknowns using a linear equation

Answer 1

d = s-14

d+s = 76

 

Using substitution;

(s-14)+s = 76

2s-14= 76

2s = 90

s = 45 years old for Sydney

d = s-14 = 31 years old for Devaughn