if the same number be added to the numbers 5,11,15and31 the resulting numbers are in propotion. find the number
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Answer:
the number will add = 1
Step-by-step explanation:
assume number is x
(5+x) / (11+x) = (15+x) / (31+x)
(5+x) * (31+x) = (15+x) * (11+x)
x*x + 5x + 31x + 155 = x*x + 15x + 11x + 165
36x + 155 = 26x + 165
36x - 26x = 165 - 155
10x = 10
x = 1
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