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The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
- a)12 years
- b)14 years
- c)18 years
- d)20 years
Correct answer is option 'D'. Can you explain this answer?
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The sum of the present ages of a father and his son is 60 years. Six y...
Given Information:
- Sum of present ages of father and son: 60 years
- 6 years ago, father's age was 5 times the age of the son
Solution:
Step 1: Present Ages
Let the present age of the father be F and the present age of the son be S.
According to the given information, F + S = 60
Step 2: Age 6 years ago
6 years ago, the father's age would be F - 6 and the son's age would be S - 6.
According to the given information, F - 6 = 5(S - 6)
Step 3: Solving the Equations
From Step 1: F + S = 60
From Step 2: F - 6 = 5S - 30
Solving these two equations, we get:
F = 45 and S = 15
Step 4: Son's Age After 6 Years
After 6 years, the son's age will be S + 6 = 15 + 6 = 21 years
Therefore, after 6 years, the son's age will be 21 years, which is not given in the options. Hence, the correct answer must be calculated again.
Step 5: Checking Options
Let's substitute the values of F and S in the options:
a) 45 - 6 = 39 (Not a possible age for the son)
b) 45 - 6 = 39 (Not a possible age for the son)
c) 45 - 6 = 39 (Not a possible age for the son)
d) 45 - 6 = 39 (Not a possible age for the son)
None of the given options match the correct age of the son after 6 years. Hence, the correct answer cannot be determined from the options provided.
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The sum of the present ages of a father and his son is 60 years. Six years ago, fathers age was five times the age of the son. After 6 years, sons age will be:a)12 yearsb)14 yearsc)18 yearsd)20 yearsCorrect answer is option 'D'. Can you explain this answer?
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