The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent £20 that day. Obi now had £8 less than Rudy. How much did they have initially altogether?

Initially, they have £28 altogether

Step-by-step explanation:

Obi: Rudy=5:2

this means that Obi had 5x and Rudy has 2x in their wallets.

Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy

thus,

2x - (5x-20) = 8

2x-5x+20=8

-3x=-12

x=4

obi = 5x

=5*4

=20

Rudy = 2x

=2*4

=8

This means that initially Obi had £20 and Rudy had £8

Total if Rudy and obi

=£8+£20

=£28