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A number consists of two digits. the digits at the units place is 3 times the digit at the tens place. If 36 is added to the number, the digits are reversed. Find the number?

Respuesta :

ronhagrid310

Answer:

x = that number

x = 10a + 3a =13a

x_reverse = 3ax10+a =31a

Have:

13a+36 =31a

=> a =2

=> x =26

Answer:

The number is 26.

Step-by-step explanation:

Let the number be xy.

Then:

y = 3x   also:

10x + y + 36 = 10y + x

9x - 9y =  = -36

x - y = -4

Substituting y = 3x in the above equation:

x - 3x = -4

-2x = -4

x = 2.

and y = 3*2 = 6.

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