Question

the sum of age of mother and son is 57years. 6 years ago the mother was 4 times as old as son. What is the present age of son?​

Answer 1

AnswEr :

Let the Present Age of Mother be m Yrs, and Present Age of Son be n Yrs.

• First Part of the Question :

⇒ Mother + Son = 57 Years

⇒ m + n = 57⠀⠀⠀⠀⠀⠀⠀—eq.( I )

• Second Part of the Question :

⇒ 6 Yrs Ago, Mother was 4 times of Son

⇒ (m - 6) = 4 × (n - 6)

⇒ m - 6 = 4n - 24

⇒ 24 - 6 = 4n - m

⇒ 4n - m = 18⠀⠀⠀⠀⠀⠀—eq.( II )

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• Adding eq.( I ) and, eq.( II ) :

↠ m + n = 57

↠ 4n - m = 18

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↠ m - m + n + 4n = 57 + 18

↠ 5n = 75

• Dividing Both term by 5

↠ n = 15 Yrs

∴ Son Present Age will be 15 Years.

Answer 2

Answer:

15 years

see attached file