The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. What are the numbers?
1 Answer
Oct 14, 2015
Explanation:
Let's say that
You know that if you multiply the smaller number by
4 * x + 8 = y
Moreover, you know that if you multiply the smaller number by
4x + y = 40
You now have a system of two equations with two unknowns,
Notice that if you substitute the value of
4x + underbrace(4x + 8)_(color(blue)(=y)) = 40
8x = 32 implies x = 32/8 = color(green)(4)
This means that
y = 4 * (color(green)(4)) + 8 = color(green)(24)
The two numbers are
x = 4" " and" "y = 24