SOLUTION: Word Problem: My 2-digit house number has the following properties: (i) When MULTIPLIED BY 2, the result is still a 2-digit number. (ii) When this new number is DIVIDED BY 3, th

Question 888241: Word Problem:
My 2-digit house number has the following properties:
(i) When MULTIPLIED BY 2, the result is still a 2-digit number.
(ii) When this new number is DIVIDED BY 3, the result is still a 2-digit number.
(iii) When this new number is MULTIPLIED BY 4, the result is again a 2-digit number.
(iv) When this new number is DIVIDED BY 5, This result is once again a 2-digit number.
What is my house number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
My 2-digit house number has the following properties:
Use elimination, and we only can have integers
:
(i) When MULTIPLIED BY 2, the result is still a 2-digit number.
Between 10 to 49
:
(ii) When this new number is DIVIDED BY 3, the result is still a 2-digit number.
33/11, 36/12, 39/13, 42/14, 45/15, 48/16
:
(iii) When this new number is MULTIPLIED BY 4, the result is again a 2-digit number.
48, 52, 56, 60, 64
:
(iv) When this new number is DIVIDED BY 5, This result is once again a 2-digit number.
Only one number divided by 5 yields an integer which is 12
:
What is my house number?
working back thru each stage, (iv) 12, (iii)60, (ii) 45 is the house number
RELATED QUESTIONS
i am a four digit number. My ones is the first even number. My tens is 2 times my ones.... (answered by stanbon)

Please help me solve this? My Question, Find all two digit numbers n such that N+2 (answered by josmiceli)

what equations solve the problem: what 2 digit number multiplied by 2 and adding 2 has... (answered by richard1234)

When a certain four-digit number is multiplied by 4 its digits appear in reverse order.... (answered by ankor@dixie-net.com,Edwin McCravy)

Can you please help me solve this question? My working out? It believe it has to be 2 (answered by KMST)

Here is my word problem that I do now know how to solve: If a number is increased by 14... (answered by Theo,Earlsdon)

I am a 3 digit number with 2 square nu8mbers. My last digit is 3x my middle digit and my... (answered by JBarnum)

When a certain 3-digit number is divided by the number with the digits reversed, the... (answered by ankor@dixie-net.com)

i am a 2-digit odd number.the sum of my digit is the smallest 2-digit even number. (answered by stanbon)