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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?

 Dec 8, 2021
 #1
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What is the value of N?

 

Hello Guest!

 

\(a+b+c=60\\ N=a-7=b+7=\dfrac{c}{7}\\ b=a-14\\ c=7a-49\\ a+a-14+7a-49=60\\ 9a=60+49+14\)

\(a=13\frac{2}{3}\\ N=a-7=13\frac{2}{3}-7\)

\(N=6\frac{2}{3}\)

laugh  !

 Dec 9, 2021
 #2
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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   

 Dec 9, 2021

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