The difference between a two-digit number and the number obtained by interchanging the digits is $36$ . The two digits are in the $2 : 1$ ratio. The number is

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

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

Open in App

Solution

The correct option is A 84
Let the number be $10 x + y$
According to question,
$10 x + y - (10 y + x) = 36 \frac{x}{y} = 2 => x = 2 y 10 x + y - (10 y + x) = 36 => 10 \times 2 y + y - (10 y + 2 y) = 36 => 20 y + y - 12 y = 36 => 9 y = 36 => y = 4 x = 2 y => x = 2 \times 4 = 8$
Required number $10 x + y = 10 \times 8 + 4 = 84$

Suggest Corrections

Similar questions

Q. The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits is 1 : 2?

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?

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?

The difference between a two – digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the tenths digit to that of the units digit of the number is 2:1?

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

27

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

Join BYJU'S Learning Program

The difference between a two-digit number and the number obtained by interchanging the digits is 36. The two digits are in the 2:1 ratio. The number is

The correct option is A 84Let the number be 10x+yAccording to question,10x+y−(10y+x)=36xy=2=>x=2y10x+y−(10y+x)=36=>10×2y+y−(10y+2y)=36=>20y+y−12y=36=>9y=36=>y=4x=2y=>x=2×4=8Required number 10x+y=10×8+4=84

The difference between a two-digit number and the number obtained by interchanging the digits is $36$ . The two digits are in the $2 : 1$ ratio. The number is