Question

On being asked her age, Shalu replies, ’My brother was born 2 years before me and my sister 4 years after me and the sum of their ages is 30 years.’ How old is Shalu?

A) 12 years
B) 14 years
C) 16 years
D) cannot say​

Answer 1

Answer:

16

Step-by-step explanation:

let Shalu 's age be x.

therefore brother's age =x+2

sister's age =x-4

according to the problem

x+2+x-4=30

or,2x-2=30

or,2x=32

or,x=16

therefore Shalu's age is 16 years.(Ans)

Answer 2

Given:

Shalu's brother was born 2 years before her.  

Shalu's sister was born 4 years after her.  

The sum of Shalu's brother and sister's age = 30 years.

To find :  

The age of Shalu.  

Solution:  

Let the age of Shalu be 'x'.  

Shalu's brother was born 2 years before her, x + 2  

Shalu's sister was born 4 years after her, x - 4  

The sum of Shalu's brother and sister's age = 30 years.  

Therefore,  

x + 2 + x - 4 = 30

2x - 2 = 30

2x = 30 + 2

2x = 32

x = $\frac{32}{2}$

x = 16

The age of Shalu is 16 years.

Final answer:

Shalu is 16 years old.

Thus, the correct option is C) 16 years