1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kicyunya [14]
2 years ago
8

When a certain number is divided by 12,18,24 the reminder is always 5 find the number

Mathematics
1 answer:
Rzqust [24]2 years ago
7 0
Let the number be N

then

N=12a+5 = 2*2*3*a+5

N=18b+5=2*3*3*b+5

N=24c+5=2*2*2*3*c+5

so 

N-5=2*2*3*a

N-5=2*3*3*b

N-5=2*2*2*3*c

N-5 must be at least a multiple of 2*2*2 and 3*3. So 8*9=72 is a factor of N-5

In fact, it is the smallest. so the smallest N is 72+5=77

N-5 may have also other factors whose total multiplication is represented by the integer k:

N-5=72k

N=72k+5


Answer: The smallest number is 72
               The number, in general, is 72k+5, where k is a positive integer.
You might be interested in
Is 8 quarts equal to 32 gallons
Fittoniya [83]

Answer:

no

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
(WILL GIVE BRAINLIEST) What is the y-intercept of the line shown?<br> 4<br> 1<br> -4<br> -1
mel-nik [20]
I think -4 not fully sure‍♀️
3 0
3 years ago
1/6 ÷ 2 = 12 (true or False)?
lilavasa [31]

Answer:

False, False, True, False, True

Step-by-step explanation:

When you divide by a whole number, the answer always come out smaller

When you divide by a fraction, the answer always come out larger

8 0
2 years ago
Find the product (3x + 2)(x ^ 3 - 4x ^ 2 + 7)
schepotkina [342]

Answer:

see attachment

Step-by-step explanation:

5 0
3 years ago
Find the distance between ( -2, 5) (-2, 14).
WITCHER [35]

Answer:

9

Step-by-step explanation:

x didn't change in value, y changed by 9

the distance between the two points is 9

6 0
2 years ago
Other questions:
  • 45 and 46 pls thx and I need work too
    5·1 answer
  • Help me with this please
    6·1 answer
  • NEED HELP NOW 100 POINTS!!!!!! WILL MARK BRAINLIEST!!!!!!!
    13·2 answers
  • What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)
    9·1 answer
  • Ellie, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $1
    10·1 answer
  • 4+6 as a verbal expression
    7·2 answers
  • In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she
    9·2 answers
  • X^2 + 8x +19=0. Find a equivalent equation Solve by completing the square
    9·1 answer
  • NEED HELP PLSSSSSS HELP MEEE
    8·2 answers
  • What do the numbers 13%, 10%, 0.125, and 1/5 have in common​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!