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One number is four times another, and the sum of the two numbers is 155. What are the two numbers?

 Nov 12, 2018
 #1
avatar+343 
+1

We have 2 numbers x,y

x=4y (1)

x+y=155<=> We are replacing the (1) => 4y+y=155 <=> 5y=155 <=> y=31

so we are replacing in the (1) x=4×31<=> x=124

so the two numbers? is 31 and 124

 

Hope this helps!

 Nov 12, 2018
edited by Dimitristhym  Nov 12, 2018
 #7
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thx dimitristhyn

SmartMathMan  Nov 12, 2018
 #2
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number 1 = x, number 2 = 155-x.

 

We have the equation $x = 4(155-x)$, which simplifies into $x = 620 - 4x$. Isolating x, we have $5x=620$, which simplifies into $x = 124$. The second number is $155-124$, which is $31$. Done, you are welcome. 

 Nov 12, 2018
edited by Guest  Nov 12, 2018
 #3
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sorry im confused

 Nov 12, 2018
 #4
avatar+343 
+1

Sorry if you don't understand my solution sent me message to explain it step by step 

Dimitristhym  Nov 12, 2018
edited by Dimitristhym  Nov 12, 2018
 #6
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+1

Thanks for that solution,  Dimitristhym.......!!!!

 

 

cool cool cool

CPhill  Nov 12, 2018
 #5
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+2

Let the smaller number   = N

The greater number  = 4 times N   = 4N

 

And we know that 

 

N + 4N   = 155

 

5N    = 155      divide both sides by 5

 

N =  31     [ the smaller number ]

 

And the larger number is  4 ( 31)  =  124

 

 

cool cool cool

 Nov 12, 2018

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