Question

The sum of all even two-digit numbers was divided by one such number, a multiple of 9. There was no remainder. The quotient differs from the divisor by only the order of the digits. What is the divisor?
a) 68
b) 54
c) 58
d)64
e)72
what is the answer pls send​

Answer 1

Answer:

54

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Answer 2

Answer:

b) 54 is your answer.

Step-by-step explanation:

Question:

The sum of all even two-digit numbers was divided by one such number, a multiple of 9. There was no remainder. The quotient differs from the divisor by only the order of the digits. What is the divisor?

Solution:

Sum of all 2-digit even numbers = (0 + 2 + 4 + 6 + 8) = 20

If numbers are even, then they must be end with 0, 2, 4, 6 or 8.

∴ The last digit of the sum would be 0.

We need to make sure that there is no remainder.

Dividend = Quotient × Divisor (The last digit of the sum should be 0)

Only, 54 satisfies the condition.  

Check:

Dividend = Quotient × Divisor

Dividend = 45 × 54

Dividend = 2430

∴ The required divisor is 54.

Answer: The required divisor is b) 54.

Hope it helps you!!(●'◡'●)