SOLUTION: One number is 17 more than another. If the greater number is increased by 3, the result is 5 times the smaller. What are the numbers? I have had everyone I know help me with thi
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Question 147348: One number is 17 more than another. If the greater number is increased by 3, the result is 5 times the smaller. What are the numbers? I have had everyone I know help me with this and we cannot work this problem. My last attempt yield me 17.75 greater number and 3.75 small.........that does not work. Help!! Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let x=the smaller number; 5x=five times the smaller number
Then x+17=the larger number
x+17+3=x+20=larger number increased by 3
Now we are told that:
x+20=5x subtract x from each side
x-x+20=5x-x collect like terms
20=4x divide each side by 4
x=5-----------------------the smaller number
x+17=5+17=22 -------------the larger number
CK
22+3=5*5
25=25
Hope this helps---ptaylor
