Consecutive numbers part 2

Algebra Level 2

Find three consecutive numbers which 4 7 \frac{4}{7} of the sum of the first and second equals to the third decreased by one.

5,10,15 6,8,10 3,7,9 None of the above

Franz Pabilona by Franz Pabilona , 21, Philippines

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2 solutions

Mark Hennings
Jul 29, 2018

If the numbers are x − 1 , x , x + 1 x-1,x,x+1 , we need to solve 4 7 ( ( x − 1 ) + x ) = ( x + 1 ) − 1 = x \tfrac{4}{7}\big((x-1) + x\big) \; = \; (x+1)-1 \; = \; x so that 8 x − 4 = 7 x 8x-4 = 7x , and hence x = 4 x=4 . The required solution is 3 , 4 , 5 3,4,5 , which matches none of the options provided (since none of the options provided offer consecutive integers, the "none of the above" option is immediate, anyway.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Franz Pabilona
Jul 29, 2018

can someone show me the solution of this problem thanks

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Well, none of the given answers have consecutive numbers, so "None of the above".

Brian Moehring - 2 years, 10 months ago

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