The age of two friends Namami and Shivu differ by 3 years. Namami's father Rohit is twice as old as Shivu and Shivu is twice as old as his sister Lalitya. The ages of Lalitya and Dharam differ by 30 years. Find the ages of Namami and Shivu.
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Answers
Let the age of Namami be x and Shivu be y
The age of two friends Namami and Shivu differ by 3 years.
- x - y = 3 ---(i)
Namami's father Rohit is twice as old as
Shivu.
- Age of Rohit = 2x
Shivu is twice as old as his sister Lalitya.
According to given condition
→ Shivu's age = y
- Lalitya's age = y/2
The ages of Lalitya and Dharam differ by
30 years.
→ Rohit's age - Lalitya's age = 30
→ 2x - y/2 = 30
→ 4x - y/2 = 30
→ 4x - y = 60 - -(ii)
Subtract both equations
→x-y-(4x - y) = 3 - 60
→x - y - 4x + y = -57
→-3x = -57
→x = 57/3 = 19
Putting the value x in (i)
→x - y = 3
→ 19 - y = 3
→y=19-3
→y = 16
- Namami's age = 19 years
- Shivu's age = 16 years
Answer:
Let the age of Namami be x and Shivu be y
The age of two friends Namami and Shivu differ by 3 years.
x - y = 3 ---(i)
Namami's father Rohit is twice as old as Shivu.
Age of Rohit = 2x
Shivu is twice as old as his sister Lalitya.
According to given condition
→ Shivu's age = y
Lalitya's age = y/2
The ages of Lalitya and Dharam differ by
30 years.
→ Rohit's age - Lalitya's age = 30
→ 2x - y/2 = 30
→ 4x - y/2 = 30
→ 4x - y = 60 - -(ii)
Subtract both equations
→x-y-(4x - y) = 3 - 60
→x - y - 4x + y = -57
→-3x = -57
→x = 57/3 = 19
Putting the value x in (i)
→x - y = 3
→ 19 - y = 3
→y=19-3
→y = 16
Namami's age = 19 years
Shivu's age = 16 years
Step-by-step explanation:
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