Enjoy Math? Here’s a riddle which will test your skills with mathematics.
The ratio between the present ages of Patrick and Roger is 5:7 respectively.
If the difference between Roger’s current age and Patrick’s age after 6 years is 2.
What is the sum of Patrick & Roger’s current age?
A. 52 Years
B. 36 Years
C. 48 Years
D. None of the Above
E. Insufficient Data
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Let x be the common multiple in the ratio 5:7;
Therefore we can write;
Patricks current age = 5x &
Roger’s current age = 7x
As per given information we can write an equation as;
7x – (5x + 6) = 2
Solving this equation we get;
7x – 5x – 6 = 2
2x = 2 + 6
2x = 8
x = 4
Patrick’s current age = 5x = 5 x 4 = 20 &
Roger’s current age = 7x = 7 x 4 = 28
So the sum of of Patrick & Roger’s current age will be;
20 + 28 = 48.
Answer: C. 48 years.