Register
Guess the number. The number has two digits. The sum of the digits is eight. If the digits are reversed, the result is 18 less than the original number. What is the original number?
94.2k views
0 votes
Guess the number. The number has two digits. The sum of the digits is eight. If the digits are reversed, the result is 18 less than the original number. What is the original number?

User Dragoon
by
5.9k points

2 Answers

4 votes
53 would be the answer

User Timfreilly
by
6.2k points
5 votes
Imagine the digits are A and B (for the mystery number AB)

A + B = 8 [1st equation]

AB - BA = 18
A*10 + B - 10*B - A = 18
9A - 9B = 18 / divide everything by 9
A - B = 2 [2nd equation]

If you add the two equations you get

2A = 10
A = 5

So B = 8 - 5 = 3

So the number is 53
User Borgy Manotoy
by
6.6k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

6.6m questions

8.8m answers

Other Questions

What is the least common denominator of the four fractions 20 7/10 20 3/4 18 9/10 20 18/25
What is 0.12 expressed as a fraction in simplest form
arlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per bank, is $250,000, which of these ways of distributing his money between three banks will guarantee that all of his money
Solve using square root or factoring method plz help!!!!.....must click on pic to see the whole problem
What is the initial value and what does it represent? $4, the cost per item $4, the cost of the catalog $6, the cost per item $6, the cost of the catalog?
Link Copied!