The ratio of present ages of Raj and Sam is 3 : 4. What is the age of Raj after 6 years, if the present age of Sam is 12 years? Ops: A. 12 B. 15 C. 13 D. 14
Question
The ratio of present ages of Raj and Sam is 3 : 4. What is the age of Raj after 6 years, if the present age of Sam is 12 years? Ops: A. 12 B. 15 C. 13 D. 14
Solution
Step 1: We know the present age of Sam is 12 years and the ratio of Raj's age to Sam's age is 3:4.
Step 2: Let's assume the common ratio is x. So, we can say Raj's age is 3x and Sam's age is 4x.
Step 3: According to the information given, Sam's age is 12 years. So, we can set up the equation 4x = 12.
Step 4: Solving the equation for x gives us x = 3.
Step 5: Now, we can find Raj's present age by multiplying 3 (the value of x) by 3 (Raj's part of the ratio). So, Raj's present age is 3 * 3 = 9 years.
Step 6: The question asks for Raj's age after 6 years. So, we add 6 to his present age of 9 years.
Step 7: Raj's age after 6 years is 9 + 6 = 15 years.
So, the answer is B. 15.
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