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6 answers

You need to make the equations for the expressions and then get them into a form that you can combine.

Let's say that X is the larger number:

X - Y = 66.. or X = Y + 66

X/Y = 7
(Y+66)/y = 7
Y/Y + 66/Y = 7
1 + 66/Y = 7
66/Y = 6
66 = 6Y
11 = Y

Now substitute the value 11 into one of the equations and solve for X.

X - 11 = 66
X = 66 + 11
X = 77

or

X/Y = 7
X/11 = 7
X = 77

2007-06-24 03:53:11 · answer #1 · answered by ♥Tom♥ 6 · 0 0

solving this using simultaneous equations solution, we can use the elimination mtd.

Step 1. Represent the unknown

Let x be the bigger no. and y the smaller no.

Step 2: Form the equations based on the given info/condition

The diff. bet. 2 nos. is 66
x - y =66 ------>eq 1

when the bigger no. is divided by the smaller no., the
quotient is 7
x
-- = 7 ------> eq. 2
y

Step 3 Solve using elimintion mtd by subtraction:

x - y = 66

_

(x/y = 7)(y)
----------------------

x - y = 66
_

x = 7y
--------------------

x - y = 66
_

x - 7y = 0
--------------------

Using subtraction, change the subtraction operation to addition and then change the signs of the subtrahend to their opposite signs. Eliminate " x "


x - y = 66
+
( - )
-x + 7y = 0
------------------------

= 6y = 66
= y = 11

to solve for x, substitute the calculated value of y to either
of the given equations. Using eq 1, we have

x - y = 66
x - 11 = 66
x = 66 + 11
x = 77

Step 3: Check the answers by substituting the calc values of x and
to eq 2

x/y = 7
77/11 =7
7 = 7 chck and balanced

Step 4 Final answers:

x = 77 the bigger no.

y = 11 the smaller no.

2007-06-24 11:15:49 · answer #2 · answered by baeyongmok 2 · 0 0

y=x+66
y/x = 7
(x+66)/x = 7
x/x+66/x = 7
1 +66/x = 7
66/x= 6
66 = 6x
11 = x
y= 66+x = 77

2007-06-24 11:33:40 · answer #3 · answered by Anonymous · 0 0

clearing up what Jimmy said:

x-y=66
y*7=x
when you solve for x in the 1st equation it becomes x = y + 66
then you substitute that for x in the 2nd equation

y *7 = y + 66
(y*7)-y=66
6y=66
y=11

x-y=66
x-(11)=66
x=77

2007-06-24 10:53:43 · answer #4 · answered by Lunais 4 · 0 0

x-y=66
y*7=x

(y*7)-y=66
6y=66
y=11

x-y=66
x-(11)=66
x=77

The bigger number is 77, the smaller number is 11

2007-06-24 10:48:55 · answer #5 · answered by Jimmy 2 · 0 0

nerd

2007-06-24 10:29:37 · answer #6 · answered by lucky 1 · 0 2

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