Translate the following problem statements into equations. Then solve the equations to find the requested result.

Question

Separate 48 into two parts such that the first part is twice the second.

Answer 1

Let first part = n
Let second part = 48 — n
Equation: n = 2(48 — n)
Solve for n n = 96 — 2n
3n = 96
n=96/3 n = 32
Solution: First part = 32 and Second part = 48 — 32 =16
The two numbers are: 32 and 16.
Check: 32+ 16 = 48 Two parts combine to 48.
32 — 2(16) = 32 First part is twice second part.