Summary of All Rules for Adjusting the Base Number

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Below is the answer to the problem presented at the end of the previous post:

The estate will be divided into 720 equal portions:

Each Wife receives 45 portions.
Each Daughter receives 96 portions.
Each Haqeeqi brother receives 50 portions.

The granddaughters are deprived.

Any questions/confusions concerning the above should be posted in the comments section, insha’Allah.


We’ve decided to gather and summarize all the rules for adjusting the base number in one post, for your convenience.

A. One Category

When the heirs of a single category cannot share their portions evenly, take a look at the number of heads of that category and the number of portions given to that category.

  1. If the two numbers are tabayun, multiply the number of heads by the base number. The result will be your new base number.
  2. If the two numbers are tawafuq, multiply the wafq of the number of heads by the base number. The result will be your new base number.

B. Two Categories

When the heirs of two categories cannot share their portions evenly, take a look at the number of heads and the number of portions of each category. There can be three possibilities:

  1. Heads and portions of one category are tabayun and heads and portions of the other category are also tabayun. In this case, you look at the number of heads in each category:
    1. If they are tabayun, multiply them together, then multiply the answer by the base number. The result will be your new base number.
    2. If they are tamathul, pick any one and multiply it by the base number. The result will be your new base number.
    3. If they are tadakhul, multiply the larger one by the base number. The result will be your new base number.
    4. If they are tawafuq, multiply the wafq of one by the other, then multiply the answer by the base number. The result will be your new base number.
  2. Heads and portions of one category are tawafuq and heads and portions of the other category are also tawafuq. In this case, you look at the wafq of the number of heads in each category:
    1. If they are tabayun, multiply them together, then multiply the answer by the base number. The result will be your new base number.
    2. If they are tamathul, pick any one and multiply it by the base number. The result will be your new base number.
    3. If they are tadakhul, multiply the larger one by the base number. The result will be your new base number.
    4. If they are tawafuq, multiply the wafq of one by the other, then multiply the answer by the base number. The result will be your new base number.
  3. Heads and portions of one category are tabayun and heads and portions of the other category are tawafuq. In this case, you look at the number of heads in the tabayun category and the wafq of the number of heads in the tawafuq category:
    1. If they are tabayun, multiply them together, then multiply the answer by the base number. The result will be your new base number.
    2. If they are tamathul, pick any one and multiply it by the base number. The result will be your new base number.
    3. If they are tadakhul, multiply the larger one by the base number. The result will be your new base number.
    4. If they are tawafuq, multiply the wafq of one by the other, then multiply the answer by the base number. The result will be your new base number.

C. Three or More Categories

When the heirs of three (or more) categories cannot share their portions evenly:

  1. Pick and resolve any two categories using rule set B. Call this number X.
  2. Resolve the remaining category using rule set A. Call this number Y.
  3. Resolve X and Y using the appropriate of the four sub-set rules in rule set B and you will end up with your new base number.
  4. If there is a fourth problematic category, do NOT multiply by the base number in step three. Rather, stop with whatever number you have before that step, and call it X. Repeat step 2 for the fourth category to get Y. Use step 3 to resolve your new X and Y and you will end up with your new base number. These steps can be repeated for an infinite number of categories.

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