The difference of two positive numbers is The larger is twice the smaller decreased by Find the two numbers.

Question

The difference of two positive numbers is  The larger is twice the smaller decreased by  Find the two numbers.

Quizplus · Accepted Answer

Let x be the smaller number. Then the larger number is 2x - 11. We can write an equation based on the given information:
2x - 11 - x = 11ebfe7e_3414_6c54_96cc_79edabcba814_TBX8806_11
Simplifying the left side, we get:
x - 11 = 11ebfe7e_3414_6c54_96cc_79edabcba814_TBX8806_11
Adding 11 to both sides, we get:
x = 11ebfe7e_3414_6c54_96cc_57de9130507e_TBX8806_11
So the smaller number is 11ebfe7e_3414_6c54_96cc_57de9130507e_TBX8806_11 and the larger number is 2(11ebfe7e_3414_6c54_96cc_57de9130507e_TBX8806_11) - 11 = 11ebfe7e_3414_6c54_96cc_a70c85a65f4d_TBX8806_11. Therefore, the answer is D.

The Difference of Two Positive Numbers Is the Larger