Michael is 6 times as old as his granddaughter Laura. (i) If Laura's present age is x years, write down in terms of x the age of Michael in time. (ii) In 15 years time, Michael will be 3 times as old as Laura. Write an equation in x and hence find their present ages.
Answers
Answer:
The Present age of Laura is x years. Therefore, the present age of Micheal is 6x. The present age of Micheal is 60 years and present age of Laura is 10 years
Step-by-step explanation:
➲ Question :
Michael is 6 times as old as his granddaughter Laura.
(i) If Laura's present age is x years, write down in terms of x the age of Michael in time.
(ii) In 15 years time, Michael will be 3 times as old as Laura. Write an equation in x and hence find their present ages.
➲ Solution :
(i) Given that Michael is 6 times as old as Laura.
➛ Therefore,
Laura's present age = x years
Michael's present age = 6x years
∴ In 15 years, Michael's age will be (6x + 15) years.
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(ii) Given that In 15 years time, Michael will be 3 times as old as Laura.
In 15 years time, Laura's age will be (x + 15) years.
➛ According to the given information,
⇒ 6x + 15 = 3(x + 15)
⇒ 6x + 15 = 3x + 45
⇒ 6x - 3x = 45 - 15
⇒ 3x = 30
⇒ x = 30/3
⇒ x = 10
➛ Therefore,
Laura's present age = x = 10 years
Michael's present = 6x = 6 × 10 = 60 years.