Robert is x years old.

Hannah is 7 years younger than Robert

The sum of their ages is 61.

How old are Hannah and Robert?

Hannah is 27 years old.

Robert is 34 years old.

Step-by-step explanation:

Robert = x

Hannah = x - 7 ("7 years younger than Robert")

Robert + Hannah = 61

x + (x - 7) = 61

x + x - 7 = 61

2x - 7 = 61

2x = 61 + 7

2x = 68

x = 68 : 2

x = 34

Robert = 34

Hannah = x - 7

Hannah = 34 - 7

Hannah = 27