Question 522874
Let x = larger number
Let y = smaller number
x – y = 10   … since the difference is positive then you must subtract the smaller from the larger
x = 2y – 7 … larger number is twice the smaller decreased by 7
Solve system of equations:
1)	 x – y = 10
2)	x = 2y – 7

1)	x – y = 10
2)	x – 2y = -7

Subtract #2 from #1
y = 17
1)	x – y = 10
x – 17 = 10
x = 27