The sum of three consecutive odd numbers is 75. What is the smallest of the three numbers?
1 answer:
Answer:
23
Step-by-step explanation:
Let the three number be represented by x, y and z. We can rewrite them as follows:
x = x
y = x + 2 <em>(because its two jumps to the next odd number)</em>
z = y +2 = x + 4
x + y + z = 75
∴ x + (x+2) + (x+4) = 75
∴ 3x + 6 = 75
∴ 3x = 69
∴ x = 23
∴ x=23, y=25, x=27.
The smallest number, x, is equal to 23.
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