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

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Question 304541: The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.
Answer by london maths tutor(243) About Me  (Show Source):
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Let one number be x and the other be y
x = 2y + 10 ... equation 1
x + y = 70 ... equation 2
put equation 1 into equation 2
(2y + 10) + y = 70
3y = 70 - 10
3y = 60
y = 60/3
y = 20
x = 2(20) + 10 = 40 + 10 = 50
Answer: the numbers are 50 and 20