Question

sophia is 6 years older than her brother eric. the sum of their ages is 28. write and solve an equation to find sophia and Eric's ages

Answer 1

s = 6 + e

s + e = 28

We can use this system of equations to find the exact values of s and e.

We have a current value of s, so we can find the exact value of e now.

e + e + 6 = 28

Combine like terms.

2e + 6 = 28

Subtract both sides by 6.

2e = 22

Divide both sides by 2.

e = 11

Now we have an exact value of e, and can solve for the value of s.

s = 6 + 11

s = 17

Sophia is 17 years old, and Eric is 11 years old.