SOLUTION: One number is 6 more that another number. If the smaller number is doubled and added to 4 times the larger number, the sum is 90. Find the two numbers.

Question 587784: One number is 6 more that another number. If the smaller number is doubled and added to 4 times the larger number, the sum is 90. Find the two numbers.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the smaller number; 2x=smaller number doubled
Then x+6=the larger number; 4(x+6)=4 times the larger number
Sooo our equation to solve is:
2x+4(x+6)=90
2x+4x+24=90 subtract 24 from each side
2x+4x+24-24=90-24 collect like terms
6x=66
x=11-------------------smaller number
x+6=11+6=17 larger number
CK
2*11+4*17=90
22+68=90
90=90
Hope this helps--ptaylor
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