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

1 answer:

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.

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When the factors of a trinomial are (x+p) and (x-q) then the coeffcient of the x term in the trinomial is?

Tatiana [17]

The coefficient is: "1" .
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Further explanation:
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3 years ago

5 2x=2x 6 how do you solve this problem

Maslowich

If it is 5+2x=2x+6 than the answer is no solution

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3 years ago

PLS HELP ASAP WILL GIVE YOU BRAINLIEST

lbvjy [14]

Answer:

y=5 is the correct answer

Step-by-step explanation: