KAYEHyunidn
Answered

Suriin ang IDNStudy.com para sa detalyadong mga sagot sa iyong mga tanong. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

The sum of the digits of a two-digit number is 12.the value of the number is 6 times the units digit.What is the number?

Sagot :

Jeremiaidn
Let x be the units digit and y be the tens digit of the number.

y + x = 12
10y + x = 6x

10y = 6x -x 
10y = 5x
10y - 5x = 0 (this is transposing, if a term goes to the other side, it's sign will change.)

( multiply 10 to all the terms in the first equation so that if y multiplied by 10 is subtracted by 10y in the second equation, the result will be 0. )
  10y +10x = 120 
-
  10y - 5x = 0
         15x = 120
 (divide both by 12)

x = 8
Substitute x to any of the two equations, say the first equation.

10y + 10x = 120
10y + 10 (8) = 120
10y + 80 = 120
10y + 80 - 80 = 120 - 80
10y + 0 = 40
10y = 40
y = 4

Therefore, the number is 48.