SOLUTION: The sum of 2 numbers is 45,2/3 of the smaller number is greater than 1/5 of the larger number by 4. Find the two numbers.

Question 467909: The sum of 2 numbers is 45,2/3 of the smaller number is greater than 1/5 of the larger number by 4. Find the two numbers.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the smaller number
Then 45-x=the larger number
Now we are told that:
(2/3)x=(1/5)(45-x)+4 multiply each term by 15
10x=3(45-x)+60 get rid of parens
10x=135-3x+60 add 3x to each side
10x+3x=135-3x+3x+60 collect like terms
13x=195
x=15------------------smaller number
45-x=45-15=30 larger number
CK
(2/3)*15=(1/5)*30+4
10=10
Hope this helps---ptaylor
RELATED QUESTIONS
The sum of two numbers is 15/4. If 1/3 of the larger number is 1/2 more than 2/3 of the... (answered by stanbon)

4. Two numbers differ by 9 and 4/7 of the larger number is greater than � of the smaller... (answered by ewatrrr)

The sum of 1/3 of the smaller of two numbers and 2/5 of the larger is 34. Also , 1/2 of... (answered by Boreal,lwsshak3)

the sum of 1/3 of the smaller of two numbers and 2/3 of the larger is 34. Also, 1/2 of... (answered by fractalier)

The smaller of two numbers is 10 less than 4 times the greater number. The greater number (answered by Flannery)

The sum of two numbers is 5. The larger number is 7 more than the smaller number. Find... (answered by checkley79)

the sum of two numbers is 105. the smaller number is 5 less than the larger number. find... (answered by algebrahouse.com)

The sum of two numbers is 14. The larger number is 2 more than 3 times the smaller... (answered by jimdris)

One number is 16 more than another. If the smaller number is subtracted from 2/3 of the... (answered by longjonsilver)