SOLUTION: I think of a pair of a numbers. If I add 7 to the first I obtain a number which is twice the second. If I add 20 to the second. I obtain a number which is four times the first. Wha

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Question 830309: I think of a pair of a numbers. If I add 7 to the first I obtain a number which is twice the second. If I add 20 to the second. I obtain a number which is four times the first. What are the number
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A+ and B be your numbers.
1.A%2B7=2B
2. B%2B20=4A
From eq. 1,
A=2B-7
Substitute this into eq. 2,
B%2B20=4%282B-7%29
B%2B20=8B-28
7B=48
highlight%28B=48%2F7%29
Then from eq. 1,
A=2%2848%2F7%29-7
A=96%2F7-49%2F7
highlight%28A=47%2F7%29