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3 years ago

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

Mathematics

1 answer:

snow_tiger [21]3 years ago

4 0

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.

<em>Check: </em>

(1) 150 + 1 = 151

151 = 151

(2) 151 = 2×150 -149

151 = 300 -149

151 = 151

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3 years ago

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Answer:

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Step-by-step explanation:

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$(-2)^{2}$

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