Given:

Tom and Sarah share some money in the ratio 3 : 5.

Sarah has £12 more than Tom.

To find:

The money does Tom have.

Solution:

Let the amount of money Tom and Sarah share are 3x and 5x respectively.

Sarah has £12 more than Tom. So, the difference between Sarah and Tom’s share is £12.

[tex]5x-3x=12[/tex]

[tex]2x=12[/tex]

[tex]x=\dfrac{12}{2}[/tex]

[tex]x=6[/tex]

Now,

[tex]\text{Tom’s share}=3x[/tex]

[tex]\text{Tom’s share}=3(6)[/tex]

[tex]\text{Tom’s share}=18[/tex]

Therefore, money received by Tom is £18.