The ratio of money in Terry's bank account to Faye's bank account was 3:5. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did they initially have altogether?

Let the common ratio be x then

The amount of money in Terry' S Bank account will be 3x and that in Faye's Band Account will be 5x. So

According to question:

3x+£220=5x-£300

£220+£300=5x-3x

£520=2x

x=£210

Balance of Terry:3x

3×£210

£630

Balance of Faye=5x

5×£210

£1050

Money Altogether=£1050+£630

= £1680

Money Altogether in their account is £1680

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