Question

The sum of Rosemary's age and Hannah's age is 102.
The difference between Rosemary's age and Hannah's age is 52.
Rosemary is older than Hannah.
Find the age of each woman by using simultaneous equations.

Answer 1

Answer:

Rosemary's age = 77 yrs

Hannah's age = 25 yrs

Step-by-step explanation:

Let Rosemary's age be 'x'

Let Hannah's age be 'y'

The sum of Rosemary's age and Hannah's age is 102

So, x + y = 102 --- I

The difference between Rosemary's age and Hannah's age is 52

So, x - y = 52 --- II

Now, equate I and II

x + y = 102

x - y = 52

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2x = 154

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x = 154/2

x = 77

Substitute x = 77 in Eq. I

x + y = 102

77 + y = 102

y = 102 - 77

y = 25