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The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age?
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The age of a person is twice the sum of the age of his 2 son and 5 yea...
Problem: The age of a person is twice the sum of the age of his 2 sons and 5 years ago his age was thrice the sum of their ages. Find his present age?
Solution:
Let the present age of the person be 'P'.
Let the present age of his first son be 'S1'.
Let the present age of his second son be 'S2'.
Given, P = 2(S1 + S2) ...(1) (Age of a person is twice the sum of the age of his 2 sons)
and, P - 5 = 3(S1 - 5 + S2 - 5) ...(2) (5 years ago his age was thrice the sum of their ages)
Simplifying equation (2), we get:
P - 5 = 3(S1 + S2 - 10)
P - 5 = 3S1 + 3S2 - 30
P = 3S1 + 3S2 - 25 ...(3)
Substituting equation (3) in equation (1), we get:
3S1 + 3S2 - 25 = 2(S1 + S2)
3S1 + 3S2 - 25 = 2S1 + 2S2
Simplifying the above equation, we get:
S1 + S2 = 25 ...(4)
Substituting equation (4) in equation (1), we get:
P = 2(25)
P = 50
Therefore, the present age of the person is 50 years.
Answer: The present age of the person is 50 years.
Solution:
Let the present age of the person be 'P'.
Let the present age of his first son be 'S1'.
Let the present age of his second son be 'S2'.
Given, P = 2(S1 + S2) ...(1) (Age of a person is twice the sum of the age of his 2 sons)
and, P - 5 = 3(S1 - 5 + S2 - 5) ...(2) (5 years ago his age was thrice the sum of their ages)
Simplifying equation (2), we get:
P - 5 = 3(S1 + S2 - 10)
P - 5 = 3S1 + 3S2 - 30
P = 3S1 + 3S2 - 25 ...(3)
Substituting equation (3) in equation (1), we get:
3S1 + 3S2 - 25 = 2(S1 + S2)
3S1 + 3S2 - 25 = 2S1 + 2S2
Simplifying the above equation, we get:
S1 + S2 = 25 ...(4)
Substituting equation (4) in equation (1), we get:
P = 2(25)
P = 50
Therefore, the present age of the person is 50 years.
Answer: The present age of the person is 50 years.
Community Answer
The age of a person is twice the sum of the age of his 2 son and 5 yea...
Let x be the present age of man and
y be the sum of the present ages of the two sons
the age of a person is twice the sum of his two sons
x = 2y --i)
5 years ago age of the man ( x - 5 ) was thrice the sum of their ages
so
x-5 = 3 (y-5-5) ---ii)
here y is sum of ages so we have to do -5 two times
now substitute i) in ii)
we get
2y-5 = 3(y-10)
2y -5 = 3y-30
-5+30 = 3y - 2y
y = 25
x is 2 X 25 = 50 which is present age of the man
y be the sum of the present ages of the two sons
the age of a person is twice the sum of his two sons
x = 2y --i)
5 years ago age of the man ( x - 5 ) was thrice the sum of their ages
so
x-5 = 3 (y-5-5) ---ii)
here y is sum of ages so we have to do -5 two times
now substitute i) in ii)
we get
2y-5 = 3(y-10)
2y -5 = 3y-30
-5+30 = 3y - 2y
y = 25
x is 2 X 25 = 50 which is present age of the man
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The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age?
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The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age?.
The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The age of a person is twice the sum of the age of his 2 son and 5 years ago his age was thrice the sum of their ages. Find his present age?.
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