SOLUTION: if two thirds of a number is added to one half of that number ,the sum is 35 find the number. if one third of a number is subtracted from three fourths of that number the d

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Question 133189: if two thirds of a number is added to one half of that number ,the sum is 35 find the number.


if one third of a number is subtracted from three fourths of that number the difference is 15,what is the number.


one fourth of a number is subtracted from two fifths of a number the difference is three find the number.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given: two thirds of a number is added to one half of that number ,the sum is 35 find the number.
Let the number be n. Then
2n%2F3+%2B+n%2F2+=+35 setup the problem
4n%2F6+%2B+3n%2F6+=+35 find a common denominator
7n%2F6+=+35+ combine terms
7n+=+210 isolate the variable
n+=+30 get an answer - and check it
Use the same steps to solve the other to problems. I've set them up as follows
3n%2F4+-+n%2F3+=+15
2n%2F5+-+n%2F4+=+3