Respuesta :

ujalakhan18

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]

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