Question

Nat’s mother is 4 times as old as Nat. Nat’s sister is 3 years younger than Nat.

Let n years old be the age of Nat.

(a) Express in terms of n, the age of Nat’s mother.

(b) Express in terms of n, the age of Nat’s sister.

(c) If n = 9, in how many years’ time would the age of Nat’s mother be three times his
sister? Solve by first forming an equation.

Answer 1

Answer:

a. 4n years

b. n-3 years

c. 9 years.

Step-by-step explanation:

if n=9,

then Nat's age=9 years

Nat's mother age =36 years

Nat's sister age=9-3=6 years

let after t years Nat's mother age will be 3 times his sister age.

ATQ,

3×(6+t)=36+t

=> 18+3t =36+t

=> 2t = 18

=> t= 9

so after 9 years Nat's mother age will be 3 times his sister age.