Question

12. The present age of Nisha's mother is three times that of Nisha's. After five years, sum of the
ages would be 70 years. Find their present ages,
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Answer 1

Answer:

let nisha's present age=x years

Let nisha's mother present age = 3x years

After 5 years,

Nisha's age=(x+5)yrs

Nisha's mother age=(3x+5)yrs

According to question

(x+5)+(3x+5)=70yrs

x+5+3x+5=70

4x+10=70

4x=70-10

4x=60

x=15

therefore,Nisha's present age=15years

Nisha's mother present age=3*15yrs

=45years

Answer 2

ATQ,

• Let Nisha's age at present be: 'x'.

• Then Nisha's mother's age will be: 3x

After five years, their ages will be:

• Nisha's age 5 years later: x + 5

• Then Nisha's mother's age will be: 3x + 5

ATQ, Sum of their ages in five years will be 70.

Therefore,

⇒ x + 5 + 3x + 5 = 70

⇒ 4x + 10 = 70

⇒ 4x = 70 - 10

⇒ 4x = 60

⇒ x = 60/4

⇒ x = 15

Hence, Nisha's age at present is 15.

Therefore Her mother's age is 3x = 3(15) = 45 years.

Final answers:

Nisha's present age: 15

Her mother's present age: 45