Justin is older than Martina. The difference in their ages is 22 and the sum of their ages is 54. Wh

Justin is older than Martina. The difference in their ages is 22 and the sum of their ages is 54. What age is Martina?

Assumptions and givens:

• Let Justin's age be j
• Let Martina's age be m
• j > m (since Justin is older than Martina)

We're given the following equations :

1. j - m = 22
2. j + m = 54

Since the coefficients of m are opposites, we can take a shortcut using the elimination method and add equation (1) to equation (2)
(j + j) + (m - m) = 22 + 54
2j = 76

To solve for j, we type this equation into our math engine and we get:
j = 38

The question asks for Martina's age (m), so we can pick equation (1) or equation (2). Let's use equation (1):
38 - m = 22

To solve this equation for m, we type it in our math engine and we get:
m = 16