Question

The sum of two numbers is 50 and twice the sum of money the number is 100.Make a pair of equations and solve them to find the numbers.​

Answer 1

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