The sum of three consecutive integers is 7 more than the smallest of the integers. Find the integers.
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Answer:
INTEGERS ARE 2, 3 AND 4
Step-by-step explanation:
Let the integers be x, x+1, and x+2.
By the problem,
x + x+1 + x+2 = x+7 (forming the equation)
⇒3x+3 = x+7 (adding the x terms on the LHS)
⇒2x = 4 (transposing x terms to LHS and constant terms to RHS)
⇒x = 2 (finally getting the answer)
So, the integers are 2, 3 and 4
Cross-checking, 2+3+4=9 and 2+7=9
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