Question

The sum of ages of father and daughter is 55 and their age difference is 27, then the of age daughter is.
A. 16; B. 15; C. 14; D. 13.​

Answer 1

Answer:

Age of daughter = 14.

Step-by-step explanation:

Let the age of the father be x, and let the daughter's be y.

Sum: x+y=55. (equation 1)

Difference: x-y=27 (equation 2)

On adding the two equations:

x+y=55

x-y=27

______

2x = 82

Therefore, x= 82/2 = 41.

On substituting value of x in equation 1,

x+y = 55

41+y = 55

y = 14