Sum of the ages of Ganesh and Ramesh is 33. Ganesh is 5 years elder than Ramesh. Then find the
ages of Ramesh and Ganesh?
Answers
Let the present age of Ganesh be x years and present age of Ramesh be y years.
Sum of the ages of Ganesha and Ramesh is 33 years.
According to question,
......(1)
Also given that, Ganesh is 5 years elder than Ramesh.
Substitute value of x = 33 - y in above equation
•°• Present age of Ramesh is 14 years.
Substitute value of y = 14 in x
•°• Present age of Ganesh be 19 years.
Verification
Sum of the ages of Ganesha and Ramesh is 33 years.
From above calculations we have x = 19 and y = 14
→ x + y = 33
→ 19 + 14 = 33
→ 33 = 33
Also, Ganesh is 5 years elder than Ramesh.
→ x = 5 + y
→ 19 = 5 + 14
→ 19 = 19
Sum of the ages of Ganesh and Ramesh is 33. Ganesh is 5 years elder than Ramesh. Then find the ages of Ramesh and Ganesh?
⟹ Let the present age of Ganesh be x years and present age of Ramesh be y years.
⟹ Sum of the ages of Ganesha and Ramesh is 33 years.
According to question,
⟹x+y=33
⟹x=33−y ......(1)
Also given that, Ganesh is 5 years elder than Ramesh.
⟹x=5+y
Substitute value of x = 33 - y in above equation
⟹33−y=5+y
⟹33−5=2y
⟹28=2y
⟹14=y
⟹y=14
•°• Present age of Ramesh is 14 years.
Substitute value of y = 14 in x
⟹x=33−14
⟹x=19
•°• Present age of Ganesh be 19 years.
Verification
Sum of the ages of Ganesha and Ramesh is 33 years.
From above calculations we have x = 19 and y = 14
→ x + y = 33
→ 19 + 14 = 33
→ 33 = 33
Also, Ganesh is 5 years elder than Ramesh.
→ x = 5 + y
→ 19 = 5 + 14
→ 19 = 19
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