Question

14. Ajay's mother is 5 times as old as Ajay.
After 5 years, his mother will be four more
than three times as old as he will be by
then. What are their present age?
(3 Points)
5,25
6,30
7,35
8,40​

Answer 1

Wrong ques
5x > 3x +4

Answer 2

Answer:

Let the present age of Rakhi be x years

Rakhi's mother is four times Rakhi's age

So, Rakhi's mother's age = 4x

5 years later,

Age of Rakhi = x + 5

Age of Rakhi's mother = 4x + 5

After 5 years, Rakhi's mother will be three times as old as she will be then = 3(x + 5)

According to the question,

4x + 5 = 3(x + 5)

➾ 4x + 5 = 3x + 15

➾ 4x - 3x = 15 - 5

➾ x = 10

∴ Present age of Rakhi ➾ x years

➾ \red{\boxed{\boxed{\boxed{\orange{10\:years}}}}}

10years

∴ Present age of Rakhi's mother ➾ 4x years

➾ 4 × 10

40years