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When a number is divided by 7 and 9 , the remainder is 4 and 3. what will be the remainder of a same no. when it is divided by...Asked by anoynomous
When a number is divided by 7 and 9 , the remainder is 4 and 3. what will be the remainder of a same no. when it is divided by 37.
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Answered by
Reiny
numbers which, when divided by 7 , leave a remainder of 4:
11 18 25 32 39 46 53 60 67 74 ...
numbers which, when divided by 9, leave a remainder of 3:
12 21 30 39 48 57 66 75 ...
looks like 39 is the first such number, there are an infinite number of them, they are
39 102 165 228 ... (adding 9x7 or 63) each time
I will assume you want the smallest such number
39 ÷ 37 = 1 and 2 left over
11 18 25 32 39 46 53 60 67 74 ...
numbers which, when divided by 9, leave a remainder of 3:
12 21 30 39 48 57 66 75 ...
looks like 39 is the first such number, there are an infinite number of them, they are
39 102 165 228 ... (adding 9x7 or 63) each time
I will assume you want the smallest such number
39 ÷ 37 = 1 and 2 left over
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