Question

6When the digits of a two-digit number are
reversed, it becomes of itself. Find the
5
6
number, if its ten's digit is one more than the
unit's digit.​

Answer 1

✬ Number = 54 ✬

Step-by-step explanation:

Given:

• After reversing the digits of a two digit number the new number becomes 5/6 of itself.
• Tens digit of number is one more than units digit.

To Find:

• What is the number ?

Solution: Let the unit place digit be x. Therefore,

➯ Tens place digit = One more than x

➯ Tens digit = (x + 1)

So, Original number formed is 10(x + 1) + x

• 10x + 10 + x
• 11x + 10

Now, After reversing the digits the reversed number formed will be 10(x) + x + 1

• 10x + x + 1
• 11x + 1

A/q

• Reversed number is 5/6 times of original number.

$\implies{\rm }$ (11x + 1) = 5/6(11x + 10)

$\implies{\rm }$ 6(11x + 1) = 5(11x + 10)

$\implies{\rm }$ 66x + 6 = 55x + 50

$\implies{\rm }$ 66x – 55x = 50 – 6

$\implies{\rm }$ 11x = 44

$\implies{\rm }$ x = 44/11

$\implies{\rm }$ x = 4

So,

=> Unit digit of number is x = 4

=> Tens digit of number is x + 1 = 5

Hence, required number is 54