Gopi’s father is 4 times as old as Gopi. After 5 years, Gopi’s father will be 3 times as old as Gopi. Find their present ages.
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Given that: Gopi's father is 4 times as old as Gopi.
After 5 years, Gopi’s father will be 3 times as old as Gopi.
Need to find: Find their present ages.
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Solution:
~Let's say that present age of Gopi is x and his father's is 4x.
ATQ,
⇢ 3( x + 5 ) = 4x + 5
⇢ 3x + 15 = 4x + 5
⇢ 4x - 3x = 15 - 5
⇢ x = 10
Henceforth,
- Gopi's present age = x = 10 years
- Father's present age = 4x = 40 years
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V E R I F I C A T I O N,
For the first statement: Gopi’s father is 4 times as old as Gopi.
→ 10 × 4 = 40
→ 40 = 40
LHS = RHS
Hence Verified!
For the second statement: After 5 years, Gopi’s father will be 3 times as old as Gopi.
→ [ 10 + 5 ] × 3 = 40 + 5
→ 15 × 3 = 45
→ 45 = 45
LHS = RHS
Hence Verified!
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