Question

six yearsago the ratio of the ages of 2 people p and q was 3:2.four yrs hence the ratio of there age will be 8:7 what is p s age​

Answer 1

Answer:

The age of P six years ago was 2 years and 3 months.

Step-by-step explanation:

Let x be the common factor between the ages of p and q respectively.

∴ Six Years Ago,

Age of P = 3x

Age of Q = 2x

After 4 years,

Age of P = 3x +4

Age of Q = 2x + 4

It is given that after 4 years their ages will be in the ratio 8:7.

⇒ $\frac{3x+4}{2x+4} = \frac{8}{7}$

⇒  7(3x+4) = 8(2x+4)

⇒ 21x + 28 = 16x + 32

⇒  21x - 16x =  32 - 28

⇒  5x = 4

⇒  x= $\frac{4}{5}$

The Age Of P six years ago = 3x

                                                = 3 × $\frac{4}{5}$

                                                = $\frac{12}{5}$

                                                = 2.4 years

                                                = 2 years 3 months.