Question

10. NAME THEIR WIVES

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

Answer:

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

Step-by-step explanation:

Hope it will help you

Answer 2

Given :

• 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.

To find :

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

Calculations :

• Let us assume catherine as "x" , jane recd as (x + 10) and Marry (x + 20)

Understanding the cases and the situation :

= x + (x + 100) + (x + 20) = 396.00

• Catherine = $122.
• Jane = $132.
• Marry = $142.

= Sum = 122 + 132 + 142

= Sum = $396

= John = $122 ----(1)

= Henry = 1.5 (132)

= Henry = $198 ----(2)

= Tom = 2 (142)

= Tom = $284 ----(3)

= Total received = 122 + 198 + 284

= Total received = $604

Therefore,

1. Catherine is John's wife.
2. Jane is Henry's wife.
3. Mary is Tom's wife.