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When a number is divided by 13 the remainder is 11 when the same number is divided by 17 the remainder is 9 what is the number?
Let n be the number, then :
(1) (a x 13) +11 = n, and
(2) (b x 17) + 9 = n, therefore
13a + 11 = 17b + 9 : 13a + 2 = 17b
This equation holds true when a = 9, when 117 + 2 = 119 = 17 x 7, so b = 7
Substituting for a in Equation (1) : n = (9 x 13) + 11 = 117 + 11 = 128
Substituting for b in Equation (2) : n = (7 x 17) + 9 = 119 + 9 = 128
The required number is 128.
What else can I help you with?
What number when divided by 11 leaves no remainder?
11
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154
What number when divided by 12 has an answer of 11 remainder 7?
139
When number is divided by 121 the remainder is 25 If the same number is divided by 11 the remainder will be?
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What number when divided by 11 leaves no remainder?
11
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Divide each of these numbers by 11, and the remainder is 5.
A positive number when divided by 88 gives remainder 8 what will be the remainder when it is divided by 11?
8.
What is the remainder for 101 ÷ 11?
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Which number is remainder 69 divided 6?
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2
What number when divided by 13 has a quotient of 11 and the remainder of 11?
154
Why are the 11 is odd number?
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What number when divided by 12 has an answer of 11 remainder 7?
139
