Question

The ratio of two numbers is 4:5 and their sum is 180. Find the numbers.

• A. 70 and 90
• B. 80 and 90
• C. 80 and 100
• D. 90 and 100

Answer 1

Answer:

C. 80 and 100

Let the two numbers be 4x and 5x.

Their sum is:

4x + 5x = 180
9x = 180
$x = \frac{180}{9} = 20$

Now find the numbers:

• First number = $(4 \times 20 = 80)$

• Second number = $(5 \times 20 = 100)$

Answer: $(\boxed{80 \text{ and } 100})$