Final answer:
To find the biggest number, set up an equation based on the given information. Solve the equations to find the value of the biggest number, which is 100.
Step-by-step explanation:
To find the biggest number, we need to set up an equation based on the given information.
Let's assume the smaller number is x and the bigger number is y.
According to the problem, y - x = 40.
Also, it is given that the smaller number (x) is 10 more than half of the bigger number (y/2).
So, the equation is x = y/2 + 10.
We can now solve these two equations to find the value of y, the biggest number.
Substituting y/2 + 10 for x in the first equation: y - (y/2 + 10) = 40.
Simplifying, we get (2y - y)/2 = 40 + 10.
Combining like terms, y/2 = 50.
Multiplying both sides by 2, y = 100.
Therefore, the biggest number is 100.