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There is a number consisting of two digits, the digit in the unit's place is twice that in the tens’ place and if 2 be subtracted from the sum of the digits, the difference is equal to 1/6 of the number. The number is
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- 26
- 25
- 24
- 23
Correct Option: C
Ten’s digit of original number = P
∴ Unit’s digit = 2P
According to given question;
∴ Number = 10P + 2P = 12P
According to the question,
| 3P – 2 = | × 12P | |
| 6 |
⇒ 3P – 2 = 2P
⇒ 3P – 2P = 2
⇒ P = 2
∴ Number = 12P = 12 × 2 = 2 = 24
