Input the sum and ratio of two numbers, and find the numbers effortlessly!
Given:
Steps to calculate:
If \( R = x : y \), then \( x = R \cdot y \).
Substitute into the sum equation \( x + y = S \):
\( R \cdot y + y = S \)
\( y = \frac{S}{R + 1} \)
\( x = S - y \)
Solution:
\( y = \frac{405}{\frac{7}{8} + 1} = 216 \)
\( x = 405 - 216 = 189 \)
Result: The two numbers are 189 and 216.
Solution:
\( y = \frac{360}{\frac{3}{5} + 1} = 225 \)
\( x = 360 - 225 = 135 \)
Result: The two numbers are 135 and 225.
Solution:
\( y = \frac{775}{\frac{14}{17} + 1} = 425 \)
\( x = 775 - 425 = 350 \)
Result: The two numbers are 350 and 425.