Question

If the age of a girl is reversed, the figures represent her brother's age. The brother is senior to her and difference between the sum of their ages and the
difference between their ages is 68. Find the age of the girl and her brother (in years).​

Answer 1

Answer:

Her age is 34 and her brothers age is 43.

Step-by-step explanation:

let her age be 10b + a

then her bro's age is 10a + b

according to the given condition:

{[10b+a] + [10a+b] - [10a+b-10b-a]} = 68

11a+11b-9a+9b = 68

a + 10b = 34

10b + a = 34

===> her age is 34 years and her brothers age is 43 years