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Question: A man's age is 125% of what it was 10 years ago, but 83 1/3 % of what it will be after 10 years. What is his present age?
- 40
- 45
- 50
- 60
Approach Solution 1
Let us assume that man's present age = x
If the man's present age is x, the man's age 10 YEARS ago = x-10
Similarly, the man's age in 10 YEARS = x+10
Now, according to the statement, we have been given that the present age of the man is 125% of what it was 10 years ago.
Mathematically, x = 125% of (x - 10)
After Solving the equation, it can be rewritten as; x = 5/4(x - 10)
Multiply both sides of the equation with 4.
We get, 4x = 5(x - 10)
Now, multiplying the term 5, outside the bracket on the Right Hand Side equation, with the terms inside the bracket.
We get, 4x= 5x - 50
Arranging, 5x-4x= 50
Therefore, we get, x = 50
Hence, the man's present age is 50 years.
So, we find out that the correct answer is option C.
If the man's present age is x, the man's age 10 YEARS ago = x-10
Similarly, the man's age in 10 YEARS = x+10
Now, according to the statement, we have been given that the present age of the man is 125% of what it was 10 years ago.
Mathematically, x = 125% of (x - 10)
After Solving the equation, it can be rewritten as; x = 5/4(x - 10)
Multiply both sides of the equation with 4.
We get, 4x = 5(x - 10)
Now, multiplying the term 5, outside the bracket on the Right Hand Side equation, with the terms inside the bracket.
We get, 4x= 5x - 50
Arranging, 5x-4x= 50
Therefore, we get, x = 50
Hence, the man's present age is 50 years.
So, we find out that the correct answer is option C.
Approach Solution 2
Let x = the man's PRESENT age
So, x - 10 = the man's age 10 YEARS ago
And x + 10 = the man's age IN 10 YEARS
So, x - 10 = the man's age 10 YEARS ago
And x + 10 = the man's age IN 10 YEARS
A man's age is 125% of what it was 10 years ago
In other words: x = 125% of (x - 10)
Rewrite as: x = 5/4(x - 10)
Multiply both sides of the equation by 4 to get: 4x = 5(x - 10)
Expand the right side: 4x = 5x - 50
Solve: x = 50
Approach Solution 3
Let the present age be X
10 years back (X-10)
10 years forward (X+10)
ATQ,
(X-10)*125/100=(X+10)*83 1/3/100
X = 50
10 years back (X-10)
10 years forward (X+10)
ATQ,
(X-10)*125/100=(X+10)*83 1/3/100
X = 50
“A man's age is 125% of what it was 10 years ago, but 83 1/3 %”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
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