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3 years ago

7. Find two consecutive even integers such that twice the smaller is

Mathematics

1 answer:

Arturiano [62]3 years ago

7 0

Answer:

Step-by-step explanation:

The difference between two consecutive even integers is 2

and even integer is always twice some integer

So:

2x ← smaller of numbers

2x+2 ← larger of numbers

2×2x ← twice the smaller of numbers

3(2x+2) ← three times the larger

3(2x+2)-26 ← 26 less than 3 times the larger

twice the smaller is 26 less than 3 times the larger:

3(2x+2) - 26 = 2×2x

6x + 6 - 26 = 4x

+20 +20

6x - 4x = 20

2x = 20

2x+2 = 20 + 2 = 22

Check: 2×20=40; 40+26 = 66; 66÷3=22

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2 years ago

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trasher [3.6K]

Answer:

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