Which of the given statements are required to answer the following question?

I. Sum of the digits is 7.
II. Difference between the number and the number obtained by interchanging the digits is 9.
III. Digit in the ten's place is greater than the digit in the unit's place by 1.
What is the two - digit number?

I and II only

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II and III only

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I and III only

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All I, II and IIII

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None of these

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Solution

The correct option is E
None of these

Let the tens and units digit be x and y respectively.
I. x + y = 7
II. (10x +y) – (10y +x) = 9
$\Rightarrow$ x – y = 1.

III. x – y = 1
Thus, the combination of the statements I and II as well as I and III can be used to answer the given question.

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Similar questions

Which of the given statements are required to answer the following question?

I. The ratio between the ten's digit and unit's digit of the number is 3:2.
II. The number obtained on reversing the order of its digits is 18 less than the original number.
III. The product of the digits is 24.
What is the sum of the digits of the two - digit number?

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

What is the two – digit number?
I. The difference between the two – digit number and the number formed by interchanging the digits is 27.
II. The difference between the two digits is 3.
III. The digit at unit's place is less than that at ten's place by 3.

In a two – digit number, the digit in the unit's place exceeds twice the digit in the ten's place by 1. If the digit in the unit’s place and the ten’s place are interchanged, then the difference between the newly formed number and the original number is less than the original number by 1. What is the original number?

Q. In a two digit number, digit at the ten's place is twice the digit at unit's place. If the number obtained by interchanging the digits is added to the original number, the sum is

66.

Find the number.

Q. In a two digit number, the digit at the unit's place is

1

less than twice the digit at the ten's place. If the digit at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by

20

. The original number is

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The correct option is E None of these Let the tens and units digit be x and y respectively. I. x + y = 7 II. (10x +y) – (10y +x) = 9 ⇒ x – y = 1. III. x – y = 1 Thus, the combination of the statements I and II as well as I and III can be used to answer the given question.

The correct option is E
None of these

Let the tens and units digit be x and y respectively.
I. x + y = 7
II. (10x +y) – (10y +x) = 9
$\Rightarrow$ x – y = 1.

III. x – y = 1
Thus, the combination of the statements I and II as well as I and III can be used to answer the given question.