The ratio between the A and B age is 7: 9. If the difference between the present ages of Q and P’s age after 4 years is 2 then what is the total of the present ages of P and Q?a)42b)44c)46d)48e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

The ratio between the A and B age is 7: 9. If the difference between the present ages of Q and P&rsquo;s age after 4 years is 2 then what is the total of the present ages of P and Q?a)42b)44c)46d)48e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Answer

Is 10 years and P is 5 years younger than A, what is the present age of B?

Let's start by using the information given in the problem to set up some equations:

- The ratio between A and B age is 7:9, so we can write: A/B = 7/9
- P is 5 years younger than A, so we can write: P = A - 5
- The difference between the present ages of Q and P is 10 years, so we can write: Q - P = 10

Now we can use these equations to solve for the present age of B:

1. Start by substituting the second equation into the first equation to get: A/B = 7/9 becomes (A-5)/B = 7/9
2. Cross-multiply to get: 9(A-5) = 7B
3. Simplify to get: 9A - 45 = 7B
4. Rearrange to get: B = (9A - 45)/7
5. Substitute this expression for B into the third equation to get: Q - P = 10 becomes Q - (A-5) = 10
6. Simplify to get: Q - A + 5 = 10
7. Rearrange to get: Q = A + 5
8. Substitute this expression for Q into the previous equation to get: (9A - 45)/7 = A + 5
9. Simplify to get: 9A - 45 = 7A + 35
10. Solve for A to get: A = 20
11. Substitute this value of A into the expression for B to get: B = (9A - 45)/7 = (9(20) - 45)/7 = 15

Therefore, the present age of B is 15.

Answer

Similar Quant Doubts

The ratio of Arun’s and Varun’s ages is 4:5. If the difference between the present age of Varun and the age of Arun 5 years hence is 3 years, then what is the total of present ages of Arun and Varun?

The ratio of Present age of Madhu and Divya is 6:7. Madhu is 7 years younger than Laxmi. Laxmi’s age after 8 years will be 51 years. Then what is the difference between the present ages of Madhu and Divya?

The ratio of Shruti’s age to Meenu’s age is 5 : 7. The difference in the present age of Meenu and Shruti’s age 6 years after is 2 years. What is the total of their present ages?

Ajay’s present age is 1.5 times of Himanshu’s present age. If after 4 years, Ajay’s age will be twice of Himanshu’s age 4 years ago. What is the difference between the present ages of Ajay and Himanshu?

Ratio of Rani’s age to Sheena’s age was 5 : 8 four years ago. Sheena’s present age is 6 years greater than Rani’s age 6 years after. Find the ratio of the present ages of Sheena and Rani.

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company