The sum of three numbers a, b and c is 60. If we decrease a by 7, we get the value N. If we increase b by 7, we get the value N. If we divide c by 7, we also get the value N. What is the value of N?
What is the value of N?
Hello Guest!
\(a+b+c=60\\ N=a-7=b+7=\dfrac{c}{7}\\ b=a-14\\ c=7a-49\\ a+a-14+7a-49=60\\ 9a=60+49+14\)
\(a=13\frac{2}{3}\\ N=a-7=13\frac{2}{3}-7\)
\(N=6\frac{2}{3}\)
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a-7 = n so a = n+7
b+7 = n so b = n-7
c/7 = n so c = 7n a + b + c = 60 sub in the values above
n+7 + n-7 + 7n = 60
9n = 60 n = 60/9 or = 6 2/3
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