A man left of his estate in kerugoya to his wife and to each of his two sons the remainder was to be shared equally among his six brothers if the estate was worth shs 3456000 how much did each of those people get?

what "remainder"?

how much was left to the wife and sons?

To determine how much each person received, we need to follow the given instructions. Let's break it down step by step:

1. The man left his estate in Kerugoya to his wife and two sons.
- Therefore, the wife and two sons will receive a share of the estate.

2. The remainder of the estate will be shared equally among his six brothers.
- This means the amount left after providing for the wife and two sons will be divided equally among the six brothers.

3. The total value of the estate is stated as 3,456,000 shillings.

Now, let's calculate the distribution:

Share for wife and two sons:
- This can be calculated by deducting the portion that will go to his brothers from the total estate value.
- Calculation: Total value - Amount for brothers
- Amount for brothers = Total value / Number of brothers
- Amount for brothers = 3,456,000 shillings / 6 (as there are six brothers)

Amount left for the wife and two sons = 3,456,000 shillings - (3,456,000 shillings / 6)
Amount left for the wife and two sons = 3,456,000 shillings - 576,000 shillings
Amount left for the wife and two sons = 2,880,000 shillings

Now, let's calculate how much each person will receive:

- Wife: 1 share (out of 3 shares)
Wife's share = Amount left for the wife and two sons / Total shares
Wife's share = 2,880,000 shillings / 3
Wife's share = 960,000 shillings

- Each son: 1 share (out of 3 shares)
Each son's share = Amount left for the wife and two sons / Total shares
Each son's share = 2,880,000 shillings / 3
Each son's share = 960,000 shillings

- Each of the six brothers:
Share for each brother = Amount for brothers / Number of brothers
Share for each brother = 576,000 shillings / 6
Share for each brother = 96,000 shillings

Therefore, each person will receive:
- The wife will receive 960,000 shillings.
- Each son will receive 960,000 shillings.
- Each of the six brothers will receive 96,000 shillings.