+0  
 
0
341
3
avatar

In a two-digit number, the digit in the tens place value is 3 times the digit in the units place value. When the number is decreased by 54, the digits are reversed. What is the number?

Guest Dec 1, 2015

Best Answer 

 #2
avatar+78557 
+5

Let the unit digit = x

 

Then, the tens digit  = 3x

 

And we have the following equation

 

[3x(10)  + x]   - 54  =  [ x(10) + 3x ]  simplify

 

30x + x   -   54   =  10x + 3x

 

31x - 54  = 13 x

 

18x  - 54  = 0

 

18x  = 54      divide both sides by 18

 

x  = 3         and 3x  = 3(3)   = 9

 

So

 

The larger number  is  3(3)(10) + 3   = 93

 

And the smaller number  is  10(3) + 3(3)  =  39

 

And their difference = 54

 

Just as Anonymous4338 found  !!!!!!

 

 

cool cool cool

CPhill  Dec 1, 2015
Sort: 

3+0 Answers

 #1
avatar+1671 
+5

The answer is 93.

 

9 is 3 times more than 3, and when you subtract 54 from 93, you get 39.

Anonymous4338  Dec 1, 2015
 #2
avatar+78557 
+5
Best Answer

Let the unit digit = x

 

Then, the tens digit  = 3x

 

And we have the following equation

 

[3x(10)  + x]   - 54  =  [ x(10) + 3x ]  simplify

 

30x + x   -   54   =  10x + 3x

 

31x - 54  = 13 x

 

18x  - 54  = 0

 

18x  = 54      divide both sides by 18

 

x  = 3         and 3x  = 3(3)   = 9

 

So

 

The larger number  is  3(3)(10) + 3   = 93

 

And the smaller number  is  10(3) + 3(3)  =  39

 

And their difference = 54

 

Just as Anonymous4338 found  !!!!!!

 

 

cool cool cool

CPhill  Dec 1, 2015
 #3
avatar
+5

In a two-digit number, the digit in the tens place value is 3 times the digit in the units place value. When the number is decreased by 54, the digits are reversed. What is the number?

 

Let the first digit =n, then we have the 2nd digit=3n. But we have:

(3n*10) + n - 54=10n + 3n

30n + n - 54=13n

31n - 13n=54

18n=54

n=54/18

n=3 the first number

3 X 3=9 the second number, therefore the number is:

=93, because 93 - 54=39

Guest Dec 1, 2015

13 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details