If the boy is 24 years younger than his father and after years sum of their age Will be 40. How old is the father?
b+x + b+24+x = 40
2b+2x = 16
b+x = 8
So, there are several possibilities:
boy=1, father=25. In 7 years they will be 8+32=40
...
boy=7, father=31. In 1 year they will be 8+32=40
To find the age of the father, let's set up an equation using the given information.
Let's assume the current age of the father is represented by F, and the current age of the boy is represented by B.
According to the question, the boy is 24 years younger than his father. So, mathematically, we can express this relationship as:
B = F - 24
The question also states that after some years, the sum of their ages will be 40. Let's assume this number of years as Y. Therefore, their ages after Y years will be:
Father's age after Y years = F + Y
Boy's age after Y years = B + Y
According to the given information, the sum of their ages after Y years will be 40. So, mathematically, we can express this as:
(F + Y) + (B + Y) = 40
Now, substitute B from the first equation into the second equation:
((F - 24) + Y) + (B + Y) = 40
Simplify the equation:
F - 24 + Y + B + Y = 40
F + B - 24 + 2Y = 40
Now, substitute B = F - 24 into the equation:
F + (F - 24) - 24 + 2Y = 40
Simplify further:
2F - 48 + 2Y = 40
Rearrange the terms:
2F + 2Y = 88
Divide by 2:
F + Y = 44
Since we don't know the exact number of years Y, we cannot directly determine the father's age. However, we do know that the sum of the father's age and the number of years will be equal to 44.