Question

8 years ago Sharmila was 5 times as old as her daughter Renu 8 year later her age will be 4 more than three time Renu age how old Renu now​

Answer 1

Answer:

R = 26 years

Step-by-step explanation:

Let Sharmila's age be 'S' and Renu's age be 'R'.

8 years ago, Sharmila's age = 'S - 8' and Renu's age = 'R - 8'.

According to the question,

S - 8 = 5 (R- 8)

S - 8 = 5R - 40

S - 5R - 8 + 40 = 0

S - 5R + 32 = 0   ...   (i)

8 years later, Sharmila's age = 'S + 8' and Renu's age = 'R + 8'.

According to the question,

S + 8 = 3 (R + 8) + 4

S + 8 = 3R + 24 + 4

S + 8 = 3R + 28

S - 3R + 8 - 28 = 0

S - 3R - 20 = 0   ...   (ii)

(i)  -  (ii)

S - 5R + 32 - (S - 3R - 20)  = 0

S - 5R + 32  - S + 3R + 20 = 0

-2R + 52 = 0

2R = 52

R = 52 / 2

R = 26 years  

Use R = 26  in (i)

S - 5(26) + 32 = 0

S - 130 + 32 = 0

S - 98 = 0

S = 98 years

Renu is 26 years old.