find three consecutive even numbers whose sum is 234
Answers
then 2nd no. = x+2
3rd no. = x+4
sum = 234
so
x + x+2 +x+ 4 = 234
3x + 6 =234
3x = 228
x = 76
so no. are
1st no. 76
2nd no. 78
rd no. 80
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STEP 1: Define x:
Let the smallest number be x
The other two numbers are (x + 2) and (x + 4)
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STEP 2: Form equation:
Their sum is 234
x + (x + 2) + (x + 4) = 234
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STEP 3: Solve x:
x + (x + 2) + (x + 4) = 234
x + x + 2 + x + 4 = 234
3x + 6 = 234
3x = 228
x = 76
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STEP 4: Find the numbers:
first number = x = 76
second number = x + 2 = 76 + 2 = 78
third number = x + 4 = 76 + 4 = 80
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Answer: The numbers are 76, 78 and 80
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