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A number consists of two digits whose sum is 10. If 18 is subtracted form the number, its digits are reversed. Find the number. 

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2 Answers

Let the ones digit and tens digit be x and y respectively. 

Then as per the question

x + y = 10 …….(i) 

(10y + x) – 18 = 10x + y 

x –y = -2 …….(ii)

Adding (i) and (ii), we get 

2x = 8 

⇒ x = 4 

Now, putting x = 4 in (i), we have 

4 + y = 10 

⇒ y = 6 

Hence, the number is 64. 

4 views

Let the ones digit and tens digit be x and y respectively. 

Then as per the question

x + y = 10 …….(i) 

(10y + x) – 18 = 10x + y 

x –y = -2 …….(ii) 

Adding (i) and (ii), we get 

2x = 8 ⇒ x = 4 

Now, putting x = 4 in (i), we have 

4 + y = 10 ⇒ y = 6 

Hence, the number is 64.

4 views

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