one number is 2 less than another. If 5 times the smaller number minus 2 times the larger number is 14 what are the other two numbers?
2006-08-29 23:48:04 · 9 answers · asked by badbullit518 1 in Science & Mathematics ➔ Mathematics
trying to help my kid w/ his homework and never was good with math. Thanks
2006-08-29 23:48:49 · update #1
think shld be 8 and 6
(x-2) be smaller number. x is bigger number.
5(x-2)-2(x)=14
5x-10-2x=14
5x-2x=14+10
3x=24
x=8 (bigger number)
x-2=8-2
=6(smaller number)
2006-08-29 23:50:28 · answer #1 · answered by escondido_cinnamon 3 · 1⤊ 0⤋
6 times 5 = 30 / 8 times 2 = 16 / 30 -16 = 14
2006-08-29 23:58:53 · answer #2 · answered by yacheckoo 4 · 0⤊ 0⤋
Let the larger number be "x" and the smaller number be "y".
Now, according to the first statement, y = x -2 ..........(i), and
according to the second statement, 5y - 2x = 14 ..........(ii)
Putting the value of y from (i) in (ii), we get
5(x - 2) - 2x = 14
=> 5x - 10 -2x = 14
=> 5x - 2x = 14+10
=>3x = 24
=>x= 24/3
=> x= 8
Substituting this value of x in (i), we get
y = 8 - 2
=> y = 6
You can verify these values of x and y as per the two given statements.
The first statement says 8 - 6 =2
The second statement says (5x6) - (2x8) =14 .
So the values of x and y are 8 and 6 respectively.
2006-08-30 00:05:52 · answer #3 · answered by cgen2 2 · 0⤊ 0⤋
i think the answer is 6..
here how it goes..
one number is 2 less than the other..so..
x+2 and x
if 5 times the smaller number= 5x
2 times the larger = 2(x+2)
then...
5x-2(x+2)=14
5x-2x-4=14
3x=14+4
3x=18
3x/3=18/3
x=6
to check..
if five times the smaller = 6 times five= 30
and two times the bigger= (x+2)= 6 +2= 8 x 2
16
you have to subtract that ok?
30-16=14..
so its right..
another checking is:
5x-2(x+2)=14
5(6)-2(6+2)=14
30-2(8)=14
30-16=14
14=14
2006-08-30 00:20:19 · answer #4 · answered by LAdy_psychology 2 · 0⤊ 0⤋
think of the two niumbers as x and y
If x is the smaller number and y is the larger
then,
y-2=x
5x-2y=14
From the first equation,
y=2+x
Subsitute that in equation 2,
then
5x-2(2+x)=14
5x-4-2x =14
3x=14+4=18
x=18/3 = 6
since y=2+x
y=2+6 =8
x=6and y=8
2006-08-29 23:59:46 · answer #5 · answered by Subakthi D 2 · 0⤊ 0⤋
let the smaller number be x
bigger number be x-2
given that:
5x-10-2x=14
3x-10=14
therfore 3x=14+10
x=24/3
thus x = 8
therefore the smaller number is (x-2)=(8-2)=6
bigger number is x=8
2006-08-30 00:17:57 · answer #6 · answered by xcelme 2 · 0⤊ 0⤋
If x is the larger number
5(x-2) - 2x = 14
5x - 10 - 2x = 14
3x-10=14
3x = 24
x=8 Larger number is 8 smaler number is 6
2006-08-29 23:54:27 · answer #7 · answered by Anonymous · 0⤊ 0⤋
the bigger is 8 and the smaller is 6
2006-08-29 23:54:23 · answer #8 · answered by indian 2 · 0⤊ 0⤋
smaller number = x
larger number = y
x = y-2
5x -2y =14
5(y-2) -2y = 14
3y -10 = 14
3y = 24
y = 8
x =6
2006-08-29 23:51:53 · answer #9 · answered by unquenchablethirst 2 · 0⤊ 0⤋