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KATARU naga jyothi

· started a discussion

· 1 Months ago

Proces (Question: 127798.0 )

Plz show the simple way

Question:

After 5 years the age of a mother will be thrice the age of her son, whereas five years ago, she was 7 times as old as her son was. What are their present ages?

Options:
A)

39 years, 8 years

B)

40 years, 10 years 

C)

36 years, 14 years 

D)

49 years, 12 years 

E)

None of these

Solution:

Let  after 5 years, Mother’s and her sons age will be 3x years and x years respectively.

∴ their present ages are (3x – 5) years and (x – 5) years respectively. 

5 years ago,

Mother’s age = (3x - 5) - 5 

= (3x – 10) years

and Son’s age = (x- 5) - 5

= (x - 10) years

According to the question

3x – 10 = 7(x – 10)

⇒ 3x – 10 = 7x – 70 

⇒ 7x – 3x = 70 – 10 

⇒ 4x = 60

⇒ x =15

∴ Present age of Mother

= 3x – 5 = 3 × 15 - 5 

= 45 – 5 = 40 years

and present age of son

= x – 5 = 15 – 5 = 10 years.


Knowledge Expert

· commented

· 1 Months ago

Dear Student, Please read the text given very carefully, its correct. Keep Learning with Us Best Wishes Team Toprankers
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