Ten Times The Sum Of A Number And Fourteen Is Equal To Nine Times The Number, What Is The Number?

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2 Answers

Katie Harry Profile
Katie Harry answered
Lets suppose
the number=x
the question can be written as:
10(x+14)=9(x)
expanding
10x+140=9x
shifting 10x
140=10x-9x
so
x=140
Oddman Profile
Oddman answered
Let x represent the number.
10(x+14) = 9x
10x + 140 = 9x (use the distributive property)
x + 140 = 0 (subtract 9x from both sides)
x = -140 (subtract 140 from both sides)

The number is -140.

Check
10((-140) + 14) = 9(-140)
10(-126) = -1260 (yes)

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