Question

The ratio of present ages of Rangitha and Shaheen is 6:5. After 12 years the ratio of their ages will be 7:6. What is Rangitha's present age?

A) 60 B) 55 C) 72 D) 28

Answer 1

Given :

• The ratio of present ages of Rangitha and Shaheen is 6:5.
• After 12 years the ratio of their ages will be 7:6.

To find :

• Present age of Rangitha.

Solution :

Consider,

• Present age of Rangitha = 6x years
• Present age of Shaheen = 5x years

According to the question :-

• After 12 years the ratio of their ages will be 7:6.

After 12 years,

• Age of Rangitha = (6x+12) years
• Age of Shaheen = (5x + 12 ) years

$\to\sf{(6x+12):(5x+12)=7:6}$

$\to\sf{\dfrac{6x+12}{5x+12}=\dfrac{7}{6}}$

$\to\sf{36x+72=35x+84}$

$\to\sf{36x-35x=84-72}$

$\to\sf{x=12}$

• Present age of Rangitha= 6×12 = 72 years.

Therefore , present age of Rangitha is 72 years.

${\boxed{\bold{Option(C)\:is\:correct.}}}$

Answer 2

let the present ages of Rangitha and Shaheen be 6x and 5x respectively.

their age after 12 yrs= 6x+12 and 5x+12

ATQ, their age after 12 yrs will be 7x and 6x.

so, 7x=6x+12

7x-6x=12

x=12

therefore, Rangitha's present age is 12*6=72

C) 72 is the correct option

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