Numbers

a) I think of a number. If I add 6 to it three times, I get five times the number. Determine this number.
b) I think of a number. If I add 8 to six times the number, I get a number that is 10 less than fifteen times the number.
c) I think of a number that, when increased by 6, equals one sixth of itself.
d) Which number, when reduced by a third, equals 36?

Final Answer:

a =  3
b =  2
c =  -7.2
d =  54

Step-by-step explanation:


3a+6=5a

3·a+6=5·a

2a = 6


a = 6/2 = 3

a = 3

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6b+8= 15b-10

6·b+8= 15·b-10

9b = 18


b = 18/9 = 2

b = 2

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c+6=c/6

5c = -36


c = -36/5 = -7.2

c = -36/5 = -7.2

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d-d/3=36

2d = 108


d = 108/2 = 54

d = 54

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