The larger number is 9 and the smaller number is 4.
a - b = 5 equation 1
a = 1 + 2b equation 2
Where:
a = larger number
b = smaller number
Substitute for a in equation 1
1 + 2b - b = 5
Combine similar terms
2b - b = 5 - 1
b = 4
Substitute for a in equation 1
a - 4 = 5
a = 5 + 4
a = 9
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