Question

The ages of A and B are in the ratio 5:7. Four years from now the ratio of their ages will be
3:4. The present age of B is


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Answer 1

Answer:

20/28

Step-by-step explanation:

5x+4/7x+4=3/4

4(5x+4)=3(7x+4)

20x+16=21x+12

 x=4                          (       5x=5*4=20  

                                  =7x=7*4=28 )  =20/28

Answer 2

Step-by-step explanation:

Let the rationale between ages of A and B be x

The ages of A and B are in the ratio 5 : 3. Hence their age, A's present age 5x and B's present age 3x

After 6 years their ages will be in the ratio 7:5

After 6 years their ages will be A's age 5x + 6 and Bs age 3x + 6. The ratio of ages will be

5x + 6 / 3x + 6 = 7 / 5

Cross multiplication

5 ( 5x + 6) = 7 ( 3x + 6 )

25x + 30 = 21x + 42

25x - 21x = 42 - 30

4x = 12

x = 12/4

x = 3

The rationale is 3. Hence the ages

A's present age = 5x = 5 × 3= 15 years

B's present age = 3x = 3 × 3= 9 years

Answer A's present age is 15 years.

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