the sum of 2 numbers is 24. 7 times the smaller number is the same as 5 times the larger number. find the smaller number.
2007-08-29 18:45:12 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x+y=24
7x=5y
5x+5y=120
12x=120
x=10
10's the smaller number
2007-08-29 18:51:50 · answer #1 · answered by Kat 2 · 0⤊ 0⤋
Let the numbers be x and 24-x. This takes care of the sum stipulation.
Then 7*x = 5*(24-x). Solving, x=10 and 24-x=14.
2007-08-30 01:49:29 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋
8
2007-08-30 03:39:40 · answer #3 · answered by ruffa 2 · 0⤊ 0⤋
a+b = 24
7 a = 5 b
a = 5, b = 7 would satisfy the latter, and these sum to 12, so double them.
10, and 14.
2007-08-30 01:48:27 · answer #4 · answered by a r 3 · 0⤊ 0⤋
let the numbers be X and Y.
now, x+y=24 ....(1)
also, 7x=5y...(2)
or, y=(7/5)x substitute this in (1)
then, x+ (7/5)x=24
or, 5x+7x=24*5
or, 12x=120
thus, x=120/12=10
and, y=24=10 = 14
2007-08-30 01:53:04 · answer #5 · answered by Barun 2 · 0⤊ 0⤋
10 and 14
ahh i love doing math problems, especially in my head!
2007-08-30 01:54:53 · answer #6 · answered by Tanya M 2 · 0⤊ 0⤋