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

Answer 1

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}.