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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?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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