Question

The sum of two numbers is 81 while the difference is 31. Determine the two numbers, and use the greater number as your answer.

Answer 1

`\huge\boxed{\sf 56}`

Explanation:

Let the two numbers be x and y.

Condition # 1:

x + y = 81 ---------(1)

Condition # 2:

x - y = 31 ----------(2)

Add both the above equations

x + y + x - y = 81 + 31

x + x = 112

2x = 112

Divide 2 to both sides

x = 112/2

x = 56

Put in Eq. (1)

56 + y = 81

Subtract 56 to both sides

y = 81 - 56

y = 25

Answer = 56 (greater number)

`\rule[225]{225}{2}`