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The sum of age of Ram and his mother is 63 years. Four years back his mothers's age was 4 times the Ram's age. What is the present age in years of ram's mother?
- a)44
- b)48
- c)58
- d)50
Correct answer is option 'B'. Can you explain this answer?
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The sum of age of Ram and his mother is 63 years. Four years back his ...
Let's assume the present age of Ram is R years and the present age of his mother is M years.
According to the given information, the sum of their ages is 63 years: R + M = 63.
Four years back, Ram's age would have been R - 4 years and his mother's age would have been M - 4 years. At that time, his mother's age was 4 times Ram's age: M - 4 = 4(R - 4).
Now, let's solve these two equations to find the values of R and M.
1. R + M = 63 (equation 1)
2. M - 4 = 4(R - 4) (equation 2)
Simplifying equation 2:
M - 4 = 4R - 16
M = 4R - 12 (equation 3)
Substituting equation 3 into equation 1:
R + (4R - 12) = 63
5R - 12 = 63
5R = 63 + 12
5R = 75
R = 75/5
R = 15
Substituting the value of R into equation 1:
15 + M = 63
M = 63 - 15
M = 48
Therefore, Ram's mother's present age is 48 years. Hence, the correct answer is option B.
According to the given information, the sum of their ages is 63 years: R + M = 63.
Four years back, Ram's age would have been R - 4 years and his mother's age would have been M - 4 years. At that time, his mother's age was 4 times Ram's age: M - 4 = 4(R - 4).
Now, let's solve these two equations to find the values of R and M.
1. R + M = 63 (equation 1)
2. M - 4 = 4(R - 4) (equation 2)
Simplifying equation 2:
M - 4 = 4R - 16
M = 4R - 12 (equation 3)
Substituting equation 3 into equation 1:
R + (4R - 12) = 63
5R - 12 = 63
5R = 63 + 12
5R = 75
R = 75/5
R = 15
Substituting the value of R into equation 1:
15 + M = 63
M = 63 - 15
M = 48
Therefore, Ram's mother's present age is 48 years. Hence, the correct answer is option B.
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