The sum of integers x & y is 240. if  x was divided by 9, the result would be y. what is the value of x?

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

Okay, so the first thing you need to do is set up your equations.

First, if the sum of the two is 240 then x+y=240.

Second, if x divided by 9 is y, then x/9=y.  Another way to put that is 9x=y because if x divided by 9 is y, then 9 of x makes one of y.

To solve for x, you want to first get rid of y in the first equation.  Since you know that 9x=y, you just plug that in.

x+9x=240

So you know that 10x=240.  To find x you divide both sides by 10.

So that leaves you x = 24

To check this, multiply 24 by 9.  That gets you 216.  216+24 is 240.

So we got the right answer...

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

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The sum of integers x & y is 240. if  x was divided by 9, the result would be y. what is the value of x?

The first statement gives us: x + y = 240

The second statement gives us: x/9 = y

Now that you have two equations, you can solve for x and y. 

krishna-agrawala's profile pic

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

As per the data given in the question:

x + y = 240 ... ... (1)

and y = x/9 ... ... (2)

Substituting value of y from equation (2) in equation ( we get:

1):

x + x/9 = 240

Or: (9x + x)/9 = 240

Or: 10x/9 = 240

Or: 10x = 240*9 = 2160

Or: x = 2160/10 = 216

Substituting this value of x in equation (1) we get:

216 + y = 240

Therefore: y = 240 - 216 = 24

Answer:

x = 216 and y = 24

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

From the sentence given,  x divided by 9 equals y , we understand that we can have the one unknown y, and 9y eqivalent to x but instead of x. So now sum of x +y is as good as sum of 9y and y which is algebraically 10y, but is equal to 240 as per the condition given.So now, 10y equals 240, and that means y has has to be one 10th of 240 and that is 24. Therefore, the value of the other unknown, that is 9y, is 24 nines are the 216.

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