Question

The present ages of Ram and Rehman are in the ratio 8-9. After 5 years
, the ratio of their ages will be 9:10.
Find their present ages.​

Answer 1

Step-by-step explanation:

{ 8x +5 }/9x +5 = 9/10

80x +50 = 81x + 45

x = 5

ram = 8×5 = 40yrs

rehman = 9×5 =45yrs

Answer 2

Answer:

• Present age of Ram = 40 yrs
• Present age of Rehman = 45 yrs

Explanation:

Given that,

Ratio of present ages of Ram and Rehman is 8 : 9

so, Let their present ages be 8 x and 9 x

Now,

As given that

after 5 years ratio of their ages will become 9 : 10

so,

Age of Ram after 5 yrs = 8 x + 5

and, Age of Rehman after 5 yrs = 9 x + 5

Hence,

→ ( 8 x + 5 ) / ( 9 x + 5 ) = 9 / 10

cross multiplying

→ 80 x + 50 = 81 x + 45

→ 50 - 45 = 81 x - 80 x

→ x = 5

So,

• Present age of Ram = 8 x = 8 ( 5 ) = 40 yrs

and

• Present age of Rehman = 9 x = 9 ( 5 ) = 45 yrs.