You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Method of Cross Multiplication

A three digit...

Question

A three digit number has digits h, t, u (from left to right) with $h > u$ . If the digits are reversed and the number thus formed is subtracted from the original number, the unit's digit in the resulting number is $4$ . What are the other two digits of the resulting number from left to right?

5

and

9

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

9

and

5

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

5

and

4

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

4

and

5

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

Open in App

Solution

The correct option is B $5$ and $9$
Let x be the number of three digits and y be the one got after reversing the digits of x, then we know that $(x - y)$ is always divisible by $99$ .
Since the unit digit of the required number is $4$ so it has to be $99 \times 6 = 594$ . Thus, the other two digits are $5$ and $9$ .

Suggest Corrections

Similar questions

Q. a, b, c (a > c) are the three digits, from left to right of a three digit number. If the number with these digits reversed is subtracted from the original number, the resulting number has the digit 4 in its unit's place. The other two digits from left to right are -

a, b, c (a > c)

are three digits from left to right, of a three digits number. If the number with these digits reversed is subtracted from the original number, the resulting number has the digits 4 in its unit place. The other two digits from left to right are

Q. a, b, c

(a > c)

are three digits from left to right, of a three digits number. If the number with these digits reversed is subtracted from the original number, the resulting number has the digit 4 in its unit place. The other two digits from left to right are

Q. A

3 - d i g i t

number has, from left to right, the digits

a, b

and

c

with

a > c

. When the number with the digits reversed is subtracted from the original number, the unit's digits in the difference is

4

. The next two digits, from right to left, are

Rita wrote a three digit number on the white board and then subtracted the sum of its digits from the number itself. Two of the digits of the resulting number are 3 and 4. What is the remaining third digit of resulting number?

Join BYJU'S Learning Program

A three digit number has digits h, t, u (from left to right) with h>u. If the digits are reversed and the number thus formed is subtracted from the original number, the unit's digit in the resulting number is 4. What are the other two digits of the resulting number from left to right?

The correct option is B 5 and 9Let x be the number of three digits and y be the one got after reversing the digits of x, then we know that (x−y) is always divisible by 99.Since the unit digit of the required number is 4 so it has to be 99×6=594. Thus, the other two digits are 5 and 9.

A three digit number has digits h, t, u (from left to right) with $h > u$ . If the digits are reversed and the number thus formed is subtracted from the original number, the unit's digit in the resulting number is $4$ . What are the other two digits of the resulting number from left to right?