saran is 6 times as old as his son sankar. after 4 years, he will be 4 times as old as his son. what are their present ages
Answers
Answer:
age of saran=36 years
age, of sankar=6 years
Step-by-step explanation:
let age of sankar be x years
age of his father =6x years
After 4yrears
age of saran=4(x+4)=6x+4
=)4x+16=6x+4
=)12=2x
x=6
age of saran=6*6=36
AnswEr :
Let the Present Age of Saran be n yrs and Present Age of his son Sankar be m yrs.
⋆ Saran is 6 times as old as his son Sankar.
⇝ Saran = 6 times of Sankar
⇝ n = 6 × m
⇝ n = 6m — eq. ( I )
⋆ After 4 years, Saran will be 4 times as old as his Son Sankar.
⇝ Saran = 4 times of Sankar
- After 4 yrs means increase of 4 in Age
⇝ (n + 4) = 4 × (m + 4)
⇝ n + 4 = 4m + 16
⇝ 6m + 4 = 4m + 16 — [ from ( I )]
⇝ 6m - 4m = 16 - 4
⇝ 2m = 12
- Dividing Both term by 2
⇝ m = 6 Yrs. [ Sankar Present Age ]
• Putting the Value of m in ( I ) :
⇝ n = 6m
⇝ n = 6 × 6
⇝ n = 36 Yrs. [ Saran Present Age ]
∴ Present Age of Saran will be 36 Yrs and Present Age of Sankar will be 6 Yrs.