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QUESTION

word problem

There were 135 more hangers in wardrobe X than in wardrobe Y.

After 20 hangers were transferred from wardrobe Y to wardrobe X, there were 6 times as many hangers in wardrobe X than in wardrobe Y.

How many hangers were there in wardrobe X at first

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Robert
Robert
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ANSWER

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** ******

*** ******** * **** * ******* ********* wardrobe * **** have * * ****

after ******** ** 20 ********

******** Y has **** *** wardrobe * has h + *** * ***

*** since ** this point ******** X has * times **** than ******** **

** ***** *****

* * *** * ** = * x * * * 20)

* * *** * 6h - ****

**** = **** * 155

*** * * *** ******** **** by ***

h * 55

** at first * *** **

* *** * 190

*******

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*** *** original hangers ** ******** * *** * ** x *** * *** ************ **

x = *** + * **** ** Also

***** ** hangers **** *********** from ******** Y ** X *** ****** ******* * * *

** = * X * * * 20 * **** 2 Substituting value

of x **** * in * *** * *

* ** * * * ( y * ** ** *** * *

= 6y * *** ** 5y = ***

y = *** * *

* ** ************ ***** ** y = **

** ** 1 ** **** x = *** + ** * ***

***** ***** **** *** hangers ** ******** X

** *****

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ANSWER

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***************************************************** = 55 + 135  = 190 hangers

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