Answer:
151
Step-by-step explanation:
Let x = the smaller integer and y = the larger integer.
We have two conditions:
(1) x + 1 = y
(2) y = 2x - 149 Substitute (1) into (2)
x + 1 = 2x - 149 Add 150 to each side
x + 150 = 2x Subtract x from each side
x = 150 Substitute into (1)
150 +1 = y
y = 151
The larger integer is 151.
Check:
(1) 150 + 1 = 151
151 = 151
(2) 151 = 2×150 -149
151 = 300 -149
151 = 151
