SOLUTION: the greater of two numbers is 2 more than the lesser. the sum of 25 times the greater number and 50 tumes the lesser is 500. what are the number?

Question 74900: the greater of two numbers is 2 more than the lesser. the sum of 25 times the greater number and 50 tumes the lesser is 500. what are the number?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the lesser number
Then x+2=the greater number
25 times the greater number is 25(x+2)
50 times the lesser number is 50x
Now we are told that:
25(x+2)+50x=500 get rid of parens
25x+50+50x=500 subtract 50 from both sides
25x+50-50+50x=500-50 collect like terms
75x=450 divide both sides by 75
x=6--------------------------------the lesser number

x+2=6+2=8------------------------------the greater number
CK
25(8)+50(6)=500
200+300=500
500=500

Hope this helps----ptaylor

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