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

47 - 90 = 43

43 - 180 = x

x = 137

step-by-step explanation:

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