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