Question

The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.

Answer 1

2

Explanation:

1+1=2

Answer 2

60 and 38

Explanation:

let the two numbers be X and Y

X + Y = 98-----------(1 )

X - Y = 22-----------(2)

using elimination method, subtracting equation (1) from equation (2)

X - X = 0

+Y -(-Y) = Y + Y = 2Y

98 -22 = 76

2Y = 76

dividing bothsides by 2

2Y/2 = 76/2

Y = 38

substitute Y = 38 into equation (1)

X + 38 = 98

X = 98-38 = 60

therefore, the two numbers are 60 and 38