Henry and Gavin win some money and share it in the ratio 5:3. Henry gets £14 more than Gavin. How much did they get altogether?

The ratio between Henry and Gavin is given as 5:3, which means that for every 5 parts that Henry gets, Gavin gets 3 parts.

Next, we are told that Henry gets £14 more than Gavin. This information helps us establish the value of each part in the ratio. Let's assume that each part is worth £x.

According to the ratio, we can write the following equation:
5x - 3x = £14

Simplifying this equation, we get:
2x = £14

To find the value of x, we divide both sides of the equation by 2:
x = £7

Now that we know the value of each part, we can calculate how much Henry and Gavin got altogether.

Henry's share:
Henry received 5 parts, so his total is 5 * £7 = £35.

Gavin's share:
Gavin received 3 parts, so his total is 3 * £7 = £21.

To find out how much they got altogether, we add their individual amounts:
£35 + £21 = £56.

Therefore, Henry and Gavin got £56 altogether.