25 years ago a man age was one third of what it was five years ago, how old is the man now

1 answer

Let's let "x" represent the man's age now.

25 years ago, the man's age was x - 25.
And five years ago, the man's age was x - 5.

According to the given information, his age 25 years ago was one-third of his age five years ago.

So, we can write the equation: x - 25 = (1/3)(x - 5)

To solve this equation, we can start by multiplying both sides by 3 to eliminate the fraction:
3(x - 25) = x - 5

Expanding the left side: 3x - 75 = x - 5

Next, let's isolate the "x" term by subtracting "x" from both sides:
3x - x - 75 = -5

Simplifying: 2x - 75 = -5

Adding 75 to both sides: 2x = 70

Finally, dividing both sides by 2 gives us: x = 35

Therefore, the man is now 35 years old.