if your age is ' X' years, your mother age is 3 times to your age and brother age is 4 years more than you. Express their ages in terms of 'x'. Need the answer plz will be very helpful.
Answers
the age of a person is ‘x’, then ‘n’ years after today, the age = x + n. Similarly, n years in the past, the age of this would have been x – n years.
Example 1: A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son. Six years from now the son’s age will be:
A) 23 years B) 19 years C) 20 years D) 22 years
Answer: Suppose that the present age of the son is = x years. Then the father’s age is (60 -x) years. Notice that we are trying to reduce the problem into as few variables as possible. As per the second condition of the question, we have:
The age of the father six years ago = (60 – x) – 6 years = 54 – x years.
Similarly the age of the son six years ago will be x – 6 years. Therefore as per the second condition, we have;
54 – x = 5(x – 6) or 54 – x = 5x – 30 and we can write 6x = 84
Hence, we have x = 14 years. Thus the son’s age after 6 years = (x+ 6) = (14 + 6) = 20 years. Hence the correct option is C) 20 years.