Question

One number is eleven more than another. If their sum is increased by seventeen, the result is 90. Find the numbers.

A) 50 and 61

B) 35 and 46

C) 25 and 36

D) 39 and 50

Answer 1

To find the numbers, let's set up and solve an equation representing the given information. The numbers are 39 and 50.

Step-by-step explanation:

To solve this problem, let's denote one number as x and the other number as x + 11. We can set up the equation: x + (x + 11) + 17 = 90. Simplifying this equation, we get 2x + 28 = 90. Subtracting 28 from both sides gives us 2x = 62. Finally, dividing by 2, we find that x = 31. Therefore, the numbers are 31 and 31 + 11, which is 42. Therefore, the correct answer is D) 39 and 50.