The quotient of two numbers is four and their diferance is forty nine. What is the smaller number of the two?
2007-11-24 10:31:36 · 4 answers · asked by GF 1 in Science & Mathematics ➔ Mathematics
Let, smaller one = s and larger one = l.
l/s = 4
or l = 4s _____(1)
l - s = 49 _____(2)
Substituting l from (1) in (2)
4s - s = 49
or s = 49/3
l = 196/3
The smaller no. is 49/3
2007-11-24 10:37:23 · answer #1 · answered by psbhowmick 6 · 0⤊ 0⤋
Suppose the smaller number is 'x':
(x+49) / x = 4
Open brackets:
Multiply both sides by x:
x+49 = 4x
Subtract x from both sides:
49 = 3x
x = 49/3
2007-11-24 18:37:19 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Let x be the smaller number.
Let y be the larger number.
y = 4x (We know this from the first part of the sentence.)
y - x = 49
4x - x = 49
3x = 49
x = 16.333 (16 and 1/3)
2007-11-24 18:37:54 · answer #3 · answered by lhvinny 7 · 0⤊ 0⤋
x/y = 4
Multiply by y and get x = 4y
x - y = 49
Plug in 4y for x
4y - y = 49
3y = 49
y = 49/3
x = 196/3
2007-11-24 18:38:03 · answer #4 · answered by I <3 Taylor Alison Swift 4 · 0⤊ 0⤋