What was the Christian name of each man's wife?

Question

A man left a legacy of $1 ,000.00 to three relatives and their wives. The wives received together $396.00. Jane received $10.00 more than Catherine, and Mary received $10.00 more than Jane. John Smith was given just as much as his wife, Henry Snooks got half as much again as his wife, and Tom Crowe received twice as much as his wife. What was the Christian name of each man's wife?

Answer 1

Let's Catherine recd =$X,
Jane recd =$(X+10),
Marry recd =$(X+10+10)=$(X+20)

Now,
X+(X+100)+(X+20)=$396.00
X=$122
Catherine=$122,
Jane=$132,
Marry=$142,
Total women recd=122+132+142=$396
Christian Man,
John smith=$122
Henry snooks=1.5*132=$198
Tom crowe=2*142=$284
Total Man recd=$122+$198+$284=$604
Ans:
Catherine is John smith's wife,
Jane is Henry snooks wife,
Marry is Tom crowe's wife

Answer 2

Firstly, we will calculate how much each wife has received.
Catherine received X, Jane received X + 10, Mary received X + 20 being the total : 396
Solving the equation: X + ( X +10) + (X + 20) = 396 ; X = 122
Catherine received 122, Jane received 132 , Mary received 142
Quantity left from the legacy is 1000 - 396 = 604
By trial an error , let us calculate what the partners receive.
1st scenario
Assumptions: John receives as much as Catherine : 122
Henry receives 1,5 as much as Jane : 132 * 1,5 = 198
Tom receives 2 times as much as Mary : 142 * 2 = 284
By checking the total received : 122 + 198 + 284 = 604
Our first trial gives us the solution
Catherine is John ´s wife Jane is Henry ´s wife Mary is Tom ´s wife