sahlis father is 32 year younger than shalis grandfather and 30 years older than sahil. sum of the ages of all three is 137. what is the age of each one of them.
Answers
Given :
- Sahlis father is 32 year younger than shalis grandfather and 30 years older than sahil.
- Sum of the ages of all three is 137.
To find :
- The age of each one of them = ?
Step-by-step explanation :
Let Sahil's age be x
Then Sahil 's Father's age be = x + 30
And, Sahil's Grandfather's age = (x + 30 +. 32)
Sum of their ages = 137 [Given]
According to the question :
➮ (x) + ( x + 30) + (x + 30 + 32) = 137
➮ x + x + 30 + x + 30 + 32 = 137
➮ 3x + 92 = 137
➮ 3x = 137 - 92
➮ 3x = 45
➮ x = 45/3
➮ x = 15
Therefore, We know that value of x = 15 year's.
Hence,
Sahil's age = x = 15 years
Sahil 's Father's age = x + 30 = 45 years
Tarun's Grandfather's age = x + 30 + 32
= 15 + 62
= 77 years
Verification :
We know that,
Sum of their ages = 137
So,
Sahil age + Sahil's Father age + Sahil's Grandfather age = 137
Substituting the values, we get,
15 + 45 + 77 = 137
60 + 77 = 137
137 = 137
L. H. S = R. H. S
Hence, it is verified.
Given :-
- Sahil Father age = Sahil Grandfather - 32 .
- Sahil Father = sahil + 30
- Sum of ages of all three = 137.
To Find :-
- Age of each of them ?
Solution :-
Let us Assume That, Sahil age is x years old.
Than,
→ sahil Father = (x + 30) Years old.
→ sahil Grandfather) = (x + 30) + 32 = (x + 62) years old.
A/q,
→ x + (x + 30) + (x + 62) = 137
→ 3x + 92 = 137
→ 3x = 137 - 92
→ 3x = 45
→ x = 15 years.
Hence,
→ Sahil age = 15 years. (Ans.)
→ sahil Father = (x + 30) = 15 + 30 = 45 years. (Ans.)
→ sahil Grandfather) = (x + 62) = 15 + 62 = 77 years (Ans.)