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The ratio between the age of a and b is 7 ratio 5 9 years ago their age where in the ratio of 2 ratio 3 find the their present age?
Most Upvoted Answer
The ratio between the age of a and b is 7 ratio 5 9 years ago their ag...
Given Data:
- The ratio between the ages of a and b is 7:5.
- 9 years ago, their ages were in the ratio of 2:3.

Let's solve the problem step by step:

Step 1: Setting up equations
Let's assume the present ages of a and b are 7x and 5x, respectively.
According to the second statement, 9 years ago, their ages were 2x and 3x, respectively.

Step 2: Using the given ratios to form equations
- From the first statement:
7x - 9 = 2x
5x - 9 = 3x

Step 3: Solving the equations
- Solving the first equation:
7x - 2x = 9
5x = 9
x = 9/5
x = 1.8

Step 4: Finding their present ages
- Substituting the value of x back into the equations:
a's age = 7 * 1.8 = 12.6 years
b's age = 5 * 1.8 = 9 years

Conclusion:
- Therefore, the present age of a is 12.6 years and the present age of b is 9 years.
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The ratio between the age of a and b is 7 ratio 5 9 years ago their age where in the ratio of 2 ratio 3 find the their present age?
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