Answer:
71 and 60
Explanation:
Let the numbers be A and B
Given one of the number is 11 more than the other ,
That’s
A = B + 11
And their sum is 131
That’s
A + B = 131
We now have two expressions
A = 11 + B and
A + B = 131
Now, substitute B + 11 for A into the second expression.
We have
A + B = 131
11 + B + B = 131
11 + 2B = 131
Subtract 11 from both sides
11 - 11 + 2B = 131 - 11
2B = 120
Divide both sides by 2
B = 120/2
B = 60
Substitute 60 for B in either expressions to get A
Using the first expression, we have
A = 11 + B
A = 11 + 60
A = 71
The numbers are 71 and 60