👨‍🦳 * 👨‍⚖️ = 24

👨‍⚖️ * 👨‍🚀 = 40
👨‍🚀 * 🥷 = 45
👨‍🦳 * 👨‍🚀 = 15

👨‍🦳 = ?

👨‍⚖️ = ?

🥷 = ?

👨‍🚀 = ?

You know that 👨‍🚀 is a factor of both 40 and 45

so, 👨‍🚀 = 5
Now see what you can do.

👨‍🦳 = g

👨‍⚖️ = m
🥷 = t
👨‍🚀 = d
g * m = 24
m * d = 40
d * t = 45
g * d = 15
=====================
m = 24/g = 40/d
bu g = 15/d
so 24 /(15/d) = 40/d
24 = (15*40 ) / d^2
d^2 = 25
d = +/- 5 assuming these are ages I will use +5
g = 15/5 = 3
t = 45/d = 9
m = 40/d = 8