Question

Present ages of Kevin and Reena are in the ratio 4:5. Seven years now, the ratio of their ages will be 5:6. Find their present ages.​

Answer 1

Answer:

present age of:-

kevin- 28 ; reena- 35

Step-by-step explanation:

Let the present age of kevin be 4x and reena be 5x.

seven years from now, the ages of kevin and reena will be-

(4x + 7) and (5x + 7)

∴ it is given that,

      $\frac{4x + 7}{5x + 7} = \frac{5}{6}$

now by cross-multiplying:-

• 6 ( 4x + 7 ) = 5 ( 5x + 7 )
• 24x + 42 = 25x + 35
• 42 - 35 = 25x - 24x
• 7 = x
• kevin's age = 4x = 4(7) = 28
• reena's age = 5x = 5(7) = 35