the sum of 2 consecutive multiples of 17 is 391 find these multiples
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The multiples are 11 and 12
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The sum of 2 consecutive multiples of 17 =391
Let the two numbers be = 17 x, 17(x+1)
17(x + x+1) = 391
17(2 x + 1) = 391
34 x + 17 = 391
34 x = 391 - 17
34 x = 374
x = 374 / 34
x = 11
so, (for check)
17 x X = 17 x 11 = 187
17 ( X + 1) = 17 x 12 = 204
the sum of Consecutive = 391
Let the two numbers be = 17 x, 17(x+1)
17(x + x+1) = 391
17(2 x + 1) = 391
34 x + 17 = 391
34 x = 391 - 17
34 x = 374
x = 374 / 34
x = 11
so, (for check)
17 x X = 17 x 11 = 187
17 ( X + 1) = 17 x 12 = 204
the sum of Consecutive = 391
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