Asked by traina
find three consecutive odd integers such that the sum of the middle and largest integer is 21 more than the smallest integer
Answers
Answered by
Reiny
middle number --- x
1st number ---- x-2
3rd number --- x+2
middle + larger > smaller by 21
middle + larger = smaller + 21
x + x+2 = x-2 + 21
x = 17
the three numbers are 15, 17, 19
check:
sum of middle + larger = 17+19 = 36
the smaller = 15
is 36>15 by 21 ? , looks good
1st number ---- x-2
3rd number --- x+2
middle + larger > smaller by 21
middle + larger = smaller + 21
x + x+2 = x-2 + 21
x = 17
the three numbers are 15, 17, 19
check:
sum of middle + larger = 17+19 = 36
the smaller = 15
is 36>15 by 21 ? , looks good
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