the sum of two consecutive multiples of 17 is 391. find these multiples
Answers
Let the two consecutive multiples be 17x and 17x + 17.
We are taking 17x + 17 because it is a multiple of 17. Hence the next consecutive multiple will be the original number + 17. Hence we take it as 17x + 17.
Given that, Sum = 391
=> 17x + 17x + 17 = 391
=> 34x + 17 = 391
=> 34x = 391 - 17
=> 34x = 374
=> x = 374 / 34 = 11
Therefore the first number is 17 * 11 = 187
Therefore the other number is 17x + 17, which is 187 + 17, i.e. 204
Hence the two numbers are 187 and 204.
Hence solved !
Let the two consecutive multiples be 17x and 17(x + 1)
Given that sum of two consecutive multiples is 391.
= > 17x + 17x + 17 = 391
= > 34x + 17 = 391
= > 34x = 391 - 17
= > 34x = 374
= > x = 374/34
= > x = 11.
Therefore, the required numbers are:
= > x = 17(11)
= 187.
= > 17(x + 1) = 17(11 + 1)
= 204.
Therefore, the required multiples are 187 and 204.
Hope this helps!