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 Number Problem

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The units digit of a two-digit counting number is 2 greater than the tens digit. If the number is increased by 6 and then divided by the sum of the digits, the quotient is 5. What is the number?

 Feb 5, 2016

Best Answer 

 #3
avatar
+10

x = unit number

10(x-2) = Tens unit number

10(x-2) + x = the number

add 6   divide  ....

 

(10(x-2) + x +6)/(x + (x-2)) = 5

(10x-20 +x + 6)/ (2x-2) = 5

(11x-14) = 10x -10

x-14 = -10

x=4

So the number is   24     

 Feb 5, 2016

4+0 Answers

 #1
avatar+279 
0

2,5 i guessangel

 Feb 5, 2016
 #2
avatar+466 
+5

The units digit is 2 more than the tens digit, so 25 can't be the answer. Thanks for trying though.

 Feb 5, 2016
 #3
avatar
+10
Best Answer

x = unit number

10(x-2) = Tens unit number

10(x-2) + x = the number

add 6   divide  ....

 

(10(x-2) + x +6)/(x + (x-2)) = 5

(10x-20 +x + 6)/ (2x-2) = 5

(11x-14) = 10x -10

x-14 = -10

x=4

So the number is   24     

Guest Feb 5, 2016
 #4
avatar+466 
+5

Thanks Guest! cool

 Feb 5, 2016

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