Abel, Bob and Carl collectively weigh 185.4 lb. Abel is twitch as much as heavy as Bob, and Carl is 10.1 lb. lighter than Abel. How much heavier is Carl than Bob?

Question

asked Sep 4, 2020 122k views

1 Answer

Amr Berag · Answer 1 · 2020-09-09T10:32:26+0000

Answer:

29 pounds

Explanation:

Let x pounds be Bob's weight.

Abel is twice as much as heavy as Bob, so Abel's weight is 2x pounds.

Carl is 10.1 lb. lighter than Abel, then Carl's weight is 2x - 10.1 pounds.

Abel, Bob and Carl collectively weigh 185.4 lb. So,

x+2x+2x-10.1=185.4

Solve this equation:

$x+2x+2x=185.4+10.1\\ \\5x=195.5\\ \\x=39.1\ pounds$

Thus,

Bob's weight
= 39.1 pounds

Abel's weight
$= 2\cdot 39.1=78.2$ pounds

Carl's weight
=78.2-10.1=68.1 pounds

Difference in Carl and Bob weights is

68.1-39.1=29 pounds