Find the larger of two consecutive integers if the larger is 149 less than twice the smaller.

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