Rohan is 4 years older than shweta.Before 3 years ,the sum of their ages was 32 years. Find the age of Roman after 5 years
Answers
Answer:
26
Step-by-step explanation:
According to question,
Rohan=Shweta+4
Rohan-3+Shweta-3=32
From above two equations,
Shweta+4-3+Shweta-3=32
Shweta=17
Rohan=Shweta+4=21
After 5 years,
Rohan=26 years
See, these questions become your favoutire once you understand them.
Let the present age of Rohan be 'x' years and Shweta's be 'y' years.
Rohan is 4 years older than Shweta
⇒ x = y + 4 → 1
Before 3 years, the sum of their ages was 32.
∴ (x - 3) + (y - 3) = 32 (Understood?)
Substituting x in eqn. 1,
(y + 4 - 3) + (y - 3) = 32
2y - 2 = 32
2y = 32 + 2
y = 34 ÷ 2
∴ y = 17
Hence, present age of Shweta is 17 years.
Using eqn. 1,
x = y + 4
= 17 + 4
⇒ x = 21
∴ Present age of Rohan is 21 years.
Answer did not end. Be careful, the question is his age after 5 years.
Hence, Rohan's age after 5 years = 21 + 5