Let's call the two numbers x and y. We know that:
x + y = 22 (the sum of two numbers is 22)
3x + 5 = 35 (three times one number increased by five is 35, so 3x + 5 = 35)
We can start by solving the second equation for x:
3x + 5 = 35
3x = 30
x = 10
Now we can substitute x = 10 into the first equation, and solve for y:
10 + y = 22
y = 12
So the two numbers are 10 and 12.
the sum of two numbers is 22. Three times one number increased by five is 35. What are the two numbers?
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