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the tens digit of a two digit number is 5 greater than the units digit. if you subtract the reversed number from the original number you will get 1/4 of the original number
what is the original number


Sagot :

From the given information, the original number is 180. 02

How to determine the original number

Let the unit digit be x

The unit in tens is x+ 5

The original number = 10(x+5) + x = 11x + 50

The reversed number = 10x+ (x+5) = 11x+5

From the information given, we have that

(11x + 50) - (11x + 5) = 1/4 (11x + 50)

Expand the expression

11x + 50 - 11x - 5 = 1/ 4(11x + 50)

Collect like terms

11x - 11x + 50 - 5 = 1/ 4 (11x + 50)

45 = [tex]\frac{11x + 50}{4}[/tex]

Cross multiply

45 * 4 = 11x + 50

180 = 11x + 50

11x = 180 -50

11x = 130

x = 130/11

x = 11. 82

To find the original number, we have

Original number = 11x + 50

Substitute the value of x

Original number = 11(11.82) + 50

Original number = 130. 02 + 50

Original number = 180. 02

Therefore, the original number is 180. 02

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