Question

Joan, Kylie and Lillian all celebrate their birthdays today. Joan is 2 years younger than Kylie, and Kylie is 3 years older than Lillian. Which of the following could be the combined age of all three birthday celebrants today?A. 51
B. 52
C. 53
D. 54
E. 55

Answer 1

Answer: Option 'B' and 'D' are correct.

Step-by-step explanation:

Since we have given that

Let the age of Lilian be 'x'

Let the age of Kylie be 'x+3'.

Let the age of Joan be 'x+3-2=x+1'.

So, According to question, we get :

Total sum of all three birthday celebrants today would be

$x+x+3+x+1=3x+4$

If we put 52, we get that

$3x+4=52\\\\3x=52-4\\\\3x=48\\\\x=\dfrac{48}{3}=16$

If we put 55, we get that

$3x+4=55\\\\3x=55-4\\\\3x=51\\\\x=\dfrac{51}{3}\\\\x=17$

Hence, Option 'B' and 'D' are correct.