Question

Choose the correct answer in the given question.

Latika is $6m$ years old. She is thrice as old as her sister. What will be their ages after six years?

• A. $8m+6$
• B. $8m+12$
• C. $24m+6$
• D. $24m$

Answer 1

The correct option is B

$8m+12$

Explanation for the correct option:

Given that, Latika's age$=6m$

Let the present age of Latika's sister $=x$.

According to the question,

Latika's age $=$$3$ times her sister's age.

Therefore,

$6m$$=$$3$$\times x$

$\frac{6m}{3}$$=x$

$2m=x$

So, Latika's sister's age in terms of $m$ is $2m$.

Latika's age after $6$ years $=6m+6$.,

Similarly, Latika's sister's age after $6$ years$=2m+6$.

Now, their ages after $6$ years$=6m+6+2m+6$

$=8m+12$

Therefore, option $B$ is the correct answer.