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Sum of two digits is 8. When the digits are reversed, the number increased by 36. Find the number.

Sagot :

lozamhmt

Answer:

26

Step-by-step explanation:

Let's call the original two digit number xy, where x is the tens digit and y is the ones digit. An algebraic representation of this number is 10x + y.

The sum of the two digit number is 8: x+y=8

When the digits are reversed, the number increases by 36: (10y + x) - (10x + y) = 36

 

Now we have two equations and two unknown parameters, so we have enough information to find those parameters.

 

Solve for x:

X=8-y

 

plug in x:

(10y + 8-y) - (10(8-y)+ y) = 36

 

simplify:

(9y + 8) - (80-9y) = 36

18y - 72 = 36

y = 108/18 = 6

 

so if y=6, then x=8-y=8-6=2

 

so our number is 26. 62 is 36 greater than 26.

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