SOLUTION: A number is 10 greater than another number. If the smaller number is subtracted from twice the larger number, the difference is 50. What is the larger number?

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Hi,

Let x represent the smaller number.  Then (x+10)is the larger

2(x+10)-x = 50

simplify and Solve

2x + 20 -x = 50

x = 30

larger number would be 40

checking our answer

2*40 - 30 = 50