Question

8. Rakhi is 26 years younger than her mother. In
9 years Rakhi's mother will be twice as old as
Rakhi. Present age of Rakhi is 43 years.​

Answer 1

Answer :

Present age of Rakhi is 17 years.

Given :

• Rakhi is 26 years younger than her mother.
• In 9 years, Rakhi's mother will be twice as old as Rakhi.

To find :

• Present age of Rakhi.

Solution :

Consider,

• Present age of Rakhi = x years
• Present age of Rakhi's mother = y years

According to the 1st condition :-

• Rakhi is 26 years younger than her mother.

$\to\sf{x=y-26..............(I)}$

According to the 2nd condition :-

• In 9 years, Rakhi's mother will be twice as old as Rakhi.

After 9 years,

• Age of Rakhi = (x+9) years
• Age of Rakhi's mother = (y+9) years

$\to\sf{y+9=2(x+9)}$

• Put x = y-26 from eq(1).

$\to\sf{y+9=2(y-26+9)}$

$\to\sf{y+9=2(y-17)}$

$\to\sf{y+9=2y-34}$

$\to\sf{y-2y=-34-9}$

$\to\sf{y=43}$

★ Present age of Rakhi's mother = 43 years.

★ Present age of Rakhi = 43-26 = 17 years.

Answer 2

Answer :

Present age of Rakhi is 17 years.

Given :

Rakhi is 26 years younger than her mother.

In 9 years, Rakhi's mother will be twice as old as Rakhi.

To find :

Present age of Rakhi.

Solution :

Consider,

Present age of Rakhi = x years

Present age of Rakhi's mother = y years

According to the 1st condition :-

Rakhi is 26 years younger than her mother.

According to the 2nd condition :-

In 9 years, Rakhi's mother will be twice as old as Rakhi.

After 9 years,

Age of Rakhi = (x+9) years

Age of Rakhi's mother = (y+9) years

Put x = y-26 from eq(1).

★ Present age of Rakhi's mother = 43 years.

★ Present age of Rakhi = 43-26 = 17 years.

Step-by-step explanation: