Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age?

Answer 1

To solve, set up a system of equations:

Let A = Alvin's Age

Let E = Elga's Age

A = E - 11

A + E = 43

Substitute A = E - 11 from the first equation into the second equation and solve for E:

A + E = 43

(E - 11) + E = 43

2E - 11 = 43

E = (43 + 11) / 2 = 54 / 2 = 27

Answer 2

Let a = Alvin's age and e = Elga's age.

Then

a + e = 43 and

e - a = 11

Add the two euqations together, resulting in 2e = 54

∴ e = 27 and a = 27 - 11 = 16