Answer:
[tex]\huge\boxed{\sf 56}[/tex]
Step-by-step 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)
[tex]\rule[225]{225}{2}[/tex]
