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The sum of the present ages of a Suresh and his son is 60 years. Five years ago, Suresh’s age was four times the age of his son. What will be the age of Suresh’s son?
- a)15
- b)17
- c)18
- d)19
- e)16
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The sum of the present ages of a Suresh and his son is 60 years. Five ...
Present ages of son and Suresh be x and (60 -x) years respectively.
(60 – x) – 5= 4(x – 5)
55 – x = 4x – 20
5x = 75
x = 15
(60 – x) – 5= 4(x – 5)
55 – x = 4x – 20
5x = 75
x = 15
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The sum of the present ages of a Suresh and his son is 60 years. Five ...
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The sum of the present ages of a Suresh and his son is 60 years. Five ...
Was 4 times as old as his son. What are their present ages?
Let's call Suresh's age "S" and his son's age "X". We know that:
S + X = 60 (the sum of their ages is 60)
And we also know that five years ago, Suresh was 4 times as old as his son:
S - 5 = 4(X - 5)
We can simplify this equation:
S - 5 = 4X - 20
S = 4X - 15
Now we can substitute this expression for S into the first equation:
4X - 15 + X = 60
5X - 15 = 60
5X = 75
X = 15
So Suresh's son is currently 15 years old. To find Suresh's age, we can use either of the equations we derived earlier. Let's use S = 4X - 15:
S = 4(15) - 15
S = 60 - 15
S = 45
So Suresh is currently 45 years old.
Let's call Suresh's age "S" and his son's age "X". We know that:
S + X = 60 (the sum of their ages is 60)
And we also know that five years ago, Suresh was 4 times as old as his son:
S - 5 = 4(X - 5)
We can simplify this equation:
S - 5 = 4X - 20
S = 4X - 15
Now we can substitute this expression for S into the first equation:
4X - 15 + X = 60
5X - 15 = 60
5X = 75
X = 15
So Suresh's son is currently 15 years old. To find Suresh's age, we can use either of the equations we derived earlier. Let's use S = 4X - 15:
S = 4(15) - 15
S = 60 - 15
S = 45
So Suresh is currently 45 years old.
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