Question

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

Answer 1

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.