Answer:
Step-by-step explanation:
Let us represent
First number = x
Second number = y
The sum of two numbers is 50
Hence:
x × y = 50
xy = 50..... Equation 1
x = 50/y
Twice the sum of money the number is 100.
2(x + y) = 100
2x + 2y = 100...... Equation 2
We substitute 50/y for x in Equation 2
2(50/y) + 2y = 100
100/y + 2y = 100
Multiply through by y
100/y × y + 2y × y = 100 × y
100 + 2y² = 100y
Hence:
2y² - 100y + 100
