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The sum of three numbers a, b, and c is 99. If we increase a by 6, decrease b by 6 and multiply c by 6, the three resulting numbers are equal. What is the value of b?

 Apr 10, 2022
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a + 6 = b-6 = 6c       sooo  a = b-12        c = 1/6 a   =  1/6(b-12)

 

a      + b       + c = 99

b-12   +  b     +  1/6 (b-12)    = 99

b= 52.153846                                            a = 40.153846                    c = 6.69231

 Apr 10, 2022

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