Question

54Z leaves remainder 2 when divided by 5,and leaves remainder 1 when divided by 3,what is the value of Z

Answer 1

Answer:

             The value of Z is "7" and the number is "547".

Step-by-step explanation:

According given to given information

• 54Z leaves remainder 2 when divided by 5  and
• leaves remainder 1 when divided by 3

Only 542 and 547 are the numbers of this category that will leave remainder 2 when divided by 5

But

542 leaves a remainder of 2 also when divided by 3.

So 547 is the number that fulfills both the conditions of the question.

I hope it will help you.

Answer 2

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Here is your answer
When 54Z is dividing by 5
$\frac{54z}{5} = 108 \: \: or109$
It means Z is 2 or 7 which leaves 2 as remainder

Now

$\frac{542}{3} = 18 \: rem \: \: 2 \\ \frac{547}{3} = 182 \: \: rem \: 1$
Therefore
547 is the number which fulfill both condition
When dividing by 5 leave 2 remainder
When dividing by 3 leave 1 remainder

Hence

Z = 7 is your answer


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