Find three consecutive integers such that the sum of the first and the second is 4 more than the third.
1 answer:
Answer:
1st integer = 5
2nd integer = 6
3rd integer = 7
Step-by-step explanation:
Let:
1st integer = x
2nd integer = x + 1
3rd integer = x + 2
Now according to given conditions:
x + x + 1 = 4+ x +2
Adding like terms
2x +1 = 6 + x
Taking terms with x on left side and others on right
2x - x = 6 -1
x = 5
Proof:
x + x + 1 = 4+ x +2
Putting x = 5
5 + 5 + 1 = 4 +5 +2
11 = 11
Hence proved!
So,
1st integer = 5
2nd integer = 5 + 1 = 6
3rd integer = 5+ 2 = 7
I hope it will help you!
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