Answer :

Let take my sister’s present age to be = X


My father’s present age as = Y


Given that


The sum of my elder sister’s present age and my father’s present age is 55 years.


So we can write it as


Sister’s age + father’s age =55


X+Y = 55 ………… (1)


Also given that after 16 years, my father’s age will be two times of my sister’s age.


So father’s age after 16 years will be (Y+16)


And sister’s age after 16 years will be (X+16)


So our new equation become


Father’s age = 2× (sister’s age)


Y+16 = 2×(X+16)


Y = 2X +16 ………… (2)


Equation (1)


X +Y=55



Equation (2)


Y = 2X +16



After plotting the lines, we can determine the intersection point of lines.


You can clearly see in the figure given below.


Red line for equation (1)


Blue line for equation (2)



We can satisfy the point (13, 42)


Equation (1)


X+Y=55


13 +42 = 55


AND EQUATION (2)


Y=2X+16


42 =2×13+16


HENCE, sister’s age is =13 years


Father’s age is =24 years


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