Question The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.

9514 1404 393 Answer: 20, 50 Step-by-step explanation: Let x and y represent the two numbers. x + y = 70 . . . . . . their sum is 70 2x +10 = y . . . . . . one is 10 more than twice the other Using the second equation to substitute for y in the first equation, we have … x + (2x +10) = 70 3x = 60 . . . . . . . . . subtract 10 x = 20 . . . . . . . . . divide by 3 y = 70 -20 = 50 . . . find the other number The two numbers are 20 and 50. Log in to Reply

9514 1404 393

Answer:20, 50

Step-by-step explanation:Let x and y represent the two numbers.

x + y = 70 . . . . . . their sum is 70

2x +10 = y . . . . . . one is 10 more than twice the other

Using the second equation to substitute for y in the first equation, we have …

x + (2x +10) = 70

3x = 60 . . . . . . . . . subtract 10

x = 20 . . . . . . . . . divide by 3

y = 70 -20 = 50 . . . find the other number

The two numbers are 20 and 50.