the sum of four consecutive multiples of 9 is 774 find the numbers
Answers
STEP 1: Define the numbers:
Let the smallest number be x
The numbers are:
1st number = x
2nd number = x + 9
3rd number = x + 18
4th number = x + 27
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STEP 2: Form equation:
Given that their sum is 774
x + (x + 9) + (x + 18) + (x + 27) = 774
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STEP 3: Solve x:
x + (x + 9) + (x + 18) + (x + 27) = 774
x + x + 9 + x + 18 + x + 27 = 774
4x + 54 = 774
4x = 720
x = 180
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STEP 4: Find the numbers;
The numbers are :
1st number = x = 180
2nd number = x + 9 = 180 + 9 = 189
3rd number = x + 18 = 180 + 18 = 198
4th number = x + 27 = 180 + 27 = 207
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Answer: The numbers are 180, 189, 198 and 207