18. I am 5 times as old as my son. After 6 years, I will be three times as old as he will be then. What are our ages now?
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Answer:
Your present age is 30 years and son's age is 6 years.
Step-by-step explanation:
Let your present age be x years and son be y years.
According to the question,
x = 5y
After 6 years,
your age = (x + 6) years
your son's age = (y + 6) years
As per the question,
x + 6 = 3(y + 6)
x + 6 = 3y + 18
x – 3y = 18 – 6
x – 3y = 12
5y – 3y = 12
2y = 12
y = 12/2
y = 6
Value of x :
x = 5(6) = 30
Therefore, your present age is 30 years and son's age is 6 years.
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