SOLUTION: a number is 7 less than another, if 4 times the smaaler number plus twice the larger is 46. find the two numbers?

Question 146103: a number is 7 less than another, if 4 times the smaaler number plus twice the larger is 46. find the two numbers?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x=larger number
Then 2x=twice the larger number
And let x-7=smaller number
Then 4(x-7)=four times the smaller number
Now we are told that;
4(x-7)+2x=46 get rid of parens (distributive law)
4x-28+2x=46 add 28 to both sides
4x-28+28+2x=46+28 collect like terms
6x=74
x= 12 1/3-------------larger number
x-7=(12 1/3)-7=5 1/3----------------smaller number
CK
2*(12 1/3)+4*(5 1/3)=46
2*(37/3)+4(16/3)=46
74/3+64/3=46
138/3=46
46=46
Hope this helps---ptaylor

RELATED QUESTIONS
a number is 7 less than another, if 4 times the smaaler number plus twice the larger is... (answered by nerdybill)

one number is 7 less than another. if 4 times the smaller number plus 2 times the larger... (answered by checkley77,nyc_function)

One number is 4 more than another number. Find the two numbers if two times the larger... (answered by algebrahouse.com)

One number is 3 less than another. If 7 times the smaller number minus 3 times the... (answered by checkley75)

twice a number is 4 more than 3 times another number. if 2 less than 7 times the second... (answered by mananth)

One number is 1 less than another. If 7 times the smaller number is 3 times the larger... (answered by ptaylor)

One number is 8 more than another. If the sum of the smaller number and twice the larger (answered by mathsmiles)

One number is 3 less than another. If 4 times the smaller number minus 3 times the larger (answered by mananth)

One number is 3 less than another. If 4 times the smaller number minus 3 times the... (answered by ankor@dixie-net.com)