SOLUTION: The sum of 1/3 of the smaller of two numbers and 2/5 of the larger is 34. Also , 1/2 of the smaller number is equal to 1/4 of the larger. Find the numbers.

Question 1010901: The sum of 1/3 of the smaller of two numbers and 2/5 of the larger is 34. Also , 1/2 of the smaller number is equal to 1/4 of the larger. Find the numbers.
Found 2 solutions by Boreal, lwsshak3:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
smaller number is x, larger is y
(1/3x+(2/5)y=34
(1/2x=(1/4)y
y=2x
(1/3x)+(4/5)x=34
5x+12x=510, multiplying everything by 15 to clear fractions.
17x=510
x=30
1/3 is 10
therefore 2/5 of the other is 24, and the other is 60.
half of 30 is 15, and that is 1/4 of 6-.
The numbers are 30 and 60
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The sum of 1/3 of the smaller of two numbers and 2/5 of the larger is 34. Also , 1/2 of the smaller number is equal to 1/4 of the larger. Find the numbers.
let x=smaller of two numbers
let y=larger of two numbers
x/3+2y/5=34
x/2=y/4
y=2x
sub x for y in 1st eq.
x/3+4x/5=34
lcd:15
5x+12x=34*15=510
x=102
y=2x=204
smaller of two numbers=102
larger of two numbers=204
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