The sum of digits of a two-digit number is 9. The digit at ten's place is twice the digit at unit's place. Then the number is 36 54 63 45

Ask a Question

Question

The sum of digits of a two-digit number is 9. The digit at ten's place is twice the digit at unit's place. Then the number is

  • 36
  • 54
  • 63
  • 45

✨ Free AI Tools for You

Powered by Chatterbot AI

Answer

Correct Option: C - 63

Let's break down the solution to find the number:

  1. Let the digit at the unit's place be $ x $.

  2. The digit at the ten's place is $ 2x $ since it is given that it is twice the unit digit.

  3. According to the problem, the sum of the digits is 9:

    $$ 2x + x = 9 $$

  4. Simplifying the equation:

    $$ 3x = 9 $$

  5. Solve for $ x $:

    $$ x = \frac{9}{3} = 3 $$

  6. Therefore, the digit at the unit's place is 3, and the digit at the ten's place is:

    $$ 2x = 2 \times 3 = 6 $$

  7. Thus, the number is 63.

So, the correct answer is 63.

Was this helpful?

India's 1st AI Doubt Solver for CBSE, JEE, and NEET

Ask a Question for Free

and then it's just ₹212 a month

Related Questions

The sum of the digits of a 2-digit number is 10. A number is selected at random. Find the probability of the chosen number to be divisible by 3.

  • Mathematics
  • NCERT
  • Probability

A number consists of two digits. When it is divided by the sum of its digits, the quotient is 6 with no remainder. When the number is diminished by 9, the digits are reversed. Find the number.

  • Mathematics
  • NCERT
  • Real Numbers

Let A and B be digits (that is, A and B are integers between 0 and 9 inclusive). If the product of the three-digit integers 2A5 and 13B is divisible by 36, determine the number of possible ordered pairs (A,B).

  • Mathematics
  • NCERT
  • Pair of Linear Equations in Two Variables

An eight-digit number divisible by 9 is to be formed using digits from 0 to 9 without repeating the digits. The number of ways in which this can be done is:

C) $40(7!)$

  • Mathematics
  • NCERT
  • Determinants

"A four-digit number (ranging from 0000 to 9999) is said to be lucky if the sum of its first two digits is equal to the sum of its last two digits. If a four-digit number is picked at random, then the probability that it is a lucky number is:

A. 0.07

B. 0.067

C. 0.67

D. 0.6"

  • Mathematics
  • NCERT
  • Probability

Learn how Chatterbot AI can help you succeed

Cover Image of the article Computer Science Class 11 CBSE - The Ultimate Guide with Notes, Solutions and AI

Computer Science Class 11 CBSE - The Ultimate Guide with Notes, Solutions and AI

This ultimate guide for CBSE Computer Science class 11 has detailed notes, NCERT solutions, cheat sheets, and our free AI-powered doubt-solving assistant, Chatterbot AI.

Read story
Cover Image of the article JEE Advanced 2024 Exam Date Announced: Complete Guide to Eligibility, Syllabus, and Preparation Tips

JEE Advanced 2024 Exam Date Announced: Complete Guide to Eligibility, Syllabus, and Preparation Tips

JEE Advanced 2024 on May 26! Get exam schedule, syllabus, prep tips & more in this guide. Ace India's top engineering test with topper strategies.

Read story
Cover Image of the article How to Crack NEET: The Ultimate Blueprint to Outsmart the Exam and Unlock Your Medical Dreams

How to Crack NEET: The Ultimate Blueprint to Outsmart the Exam and Unlock Your Medical Dreams

Ace NEET with expert strategies: Discover effective exam strategies, time management, core concepts mastery, problem-solving techniques, revision tips, and AI-assisted doubt clearing with Chatterbot AI.

Read story
Cover Image of the article How to Crack IIT: Smart Self-Study Strategies and AI Tools for Success

How to Crack IIT: Smart Self-Study Strategies and AI Tools for Success

Ace IIT JEE in 6 months without coaching. Discover expert self-study strategies for Physics, Chemistry, and Math. Master time management, mock tests, and leverage AI tools like Chatterbot AI for personalized doubt-solving.

Read story