Answer:
25 and 55
Step-by-step explanation:
Let's call the larger number L and the smaller S
L = 5 + 2×S
And the sum is:
L + S = 80 Subtract S in both sides:
L = 80 - S
Now, substitute this value of L in the first equation:
80 - S = 5 + 2×S Add S in both sides:
80 = 5 + 2×S + S
80 = 5 + 3S Subtract 5 in both sides
75 = 3S Divide both sides by 3
25 = S
We find the value of S, and now we substitute it in the second equation to find the value of L:
L = 80 - 25
L = 55
