Sally is 4 years older than Mark. Twice Sally's age plus 5 times Mark's age is equal to 64. | MathCelebrity Forum

Sally is 4 years older than Mark. Twice Sally's age plus 5 times Mark's age is equal to 64.

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Sally is 4 years older than Mark. Twice Sally's age plus 5 times Mark's age is equal to 64.

Let Sally's age be s. Let Mark's age be m. We're given two equations:
  1. s = m + 4
  2. 2s + 5m = 64 <-- Since Twice means we multiply by 2
Substitute equation (1) into equation (2):
2(m + 4) + 5m = 64

Multiply through:
2m + 8 + 5m = 64

Group like terms:
(2 + 5)m + 8 = 64
7m + 8 = 64

Type this equation into the search engine and we get:
m = 8
 
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