The difference between a two - digit number and the number obtained by interchanging the position of both the digits is 63. Which is the smallest two digit number that satisfies the above condition ?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is E
81

Let the ten's digit be x and unit's digit be y Then, $(10 x + y) - (10 y + x) = 63 \Leftrightarrow 9 (x - y) = 63 \Leftrightarrow x - y = 7.$ Thus, 81 is the smallest two digit number that satisfies the given condition.

Suggest Corrections

Similar questions

Q. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is

63

. What is the difference between the two digits of that number?

The difference between a two – digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

Q. Q8. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

Q. Choose the correct answer from the alternatives given.
The difference between a two-digit number and the number obtained by interchanging the position of the digits is 45. What is the difference between the digits of that number?

The sum of the digits of a two – digit number is 20% of the difference between the number and the number obtained by interchanging the positions of the digits. What is definitely the difference between the digits of that number?

Join BYJU'S Learning Program

The difference between a two - digit number and the number obtained by interchanging the position of both the digits is 63. Which is the smallest two digit number that satisfies the above condition ?

The correct option is E 81 Let the ten's digit be x and unit's digit be y Then, (10x+y)−(10y+x)=63⇔9(x−y)=63⇔x−y=7. Thus, 81 is the smallest two digit number that satisfies the given condition.

The correct option is E
81

Let the ten's digit be x and unit's digit be y Then, $(10 x + y) - (10 y + x) = 63 \Leftrightarrow 9 (x - y) = 63 \Leftrightarrow x - y = 7.$ Thus, 81 is the smallest two digit number that satisfies the given condition.