Latest Elitmus Aptitude Question SOLUTION: A two digit number is 1/3 rd of itself.consider unit digit is 'a' and tens digit is 'b'.How many two digits is possible?

• Placement Papers
• /
• Elitmus
• /
• Numerical Ability
• /
• Number System

Elitmus Question Papers:

(#M40165374) ELITMUS Numerical Ability question Keep an EYE

A two digit number is 1/3 rd of itself.consider unit digit is 'a' and tens digit is 'b'.How many two digits is possible?

Asked In Elitmus Mounika (5 years ago)

Unsolved Read Solution (5)

Is this Puzzle helpful?   (23)   (25) Submit Your Solution Number System

Read Solution (5) :

  (5 years ago)

the question is actually if the two digits of a 2 digit no are multiplied and product is 1/3rd of the actual no. then find the no of such no?
answer is 2
15 and 24 are the only two no which satisfy the given condition

Is this solution Helpfull? Yes (11) | No (4)  

Saurav  (5 years ago)

wrong question!!!!
how can a number be 1/3rd of itself

Is this solution Helpfull? Yes (6) | No   

Mr Sumit  (5 years ago)

do not ask incomplete questions

Is this solution Helpfull? Yes (3) | No   

JAY SYKES  (5 years ago)

question is incomplete or wrong

Is this solution Helpfull? Yes (1) | No   

  (5 years ago)

The above question is wrong !
May be the question look like this
In a two-digit number the tens’ digit is 1 more than the units’ digit. The number itself is 6 times the sum of the digits. Find the number.
A number with two digits can be written as AB where the A and the B are the digits in the tens and ones places. I set up one of the other questions you asked, I'll solve this one out in case you need to see how it's done.

A = B + 1

AB can be rewritten as 10A + B

10A + B = 6(A + B)

This gives me a system of equations. Since the first equation gives me A in terms of B, I'll replace the As in the second equation with B + 1. The first equation is saying that "A is the same thing as B + 1".

So dealing with the second equation:

10A + B = 6(A + B)

10(B + 1) + B = 6(B + 1 + B)

10B + 10 + B = 6B + 6 + 6B

11B + 10 = 12B + 6

B = 4

Then A is one more than this, so A = 5.

The number is 54.

Is this solution Helpfull? Yes | No (3)  

Please Login to Read Solution.