One branch if bank had seven times as much cash in hand as another. 46million is transferred from the first to the second the first ban now has 5 times a much cash in hand as the second How much cash does the first bank have
Let's assume the initial amount of cash in hand for the second bank is x.
According to the given information, the first bank initially had 7*x cash in hand.
After transferring 46 million from the first bank to the second bank, the second bank now has x + 46 million cash in hand.
The first bank currently has 5 times as much cash in hand as the second bank, so it has 5 * (x + 46) million cash in hand.
We are told that the two amounts are equal, so we can set up the following equation:
7*x = 5 * (x + 46)
Expanding the right side of the equation, we get:
7*x = 5*x + 230
Subtracting 5*x from both sides, we obtain:
2*x = 230
Dividing both sides of the equation by 2, we get:
x = 115
Therefore, the second bank initially had 115 million cash in hand.
The first bank initially had 7 times as much, so it had 7 * 115 = 805 million cash in hand.
After transferring 46 million, the first bank now has 805 - 46 = 759 million cash in hand. Answer: \boxed{759}.