SOLUTION: Two thirds of a number is seven more than one fifth of that number. Find the number.

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Question 568400: Two thirds of a number is seven more than one fifth of that number. Find the number.
Answer by Maths68(1474) About Me  (Show Source):
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Let
x be the number
2/3(x)=1/5(x)+7
2x/3=x/5+7
2x/3-x/5=7
Take LCD
(2x(5)-x(3))/15=7
10x-3x=7*15
7x=105
7x/7=105/7
x=15
Two thirds of 15 is seven more than one fifth of 15.

Check
Two thirds of 15 = (2/3)(15)=30/3=10
seven more than one fifth of 15 = (1/5)(15)+7=15/5+7=3+7=10