Question

X

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

Answer 1

102 -52 =50 the age is 50 ufdhdgrthui

Answer 2

Let Rosemary's age = X

and Hannah's age = Y

According to question,

X + Y = 102 … (i)

X - Y = 52 … (ii)

Adding the equation (i) + (ii)

We get,

2X = 154

X = 77

now putting the value of X in Equation (ii)

We get,

77 - Y = 52

Y = 77-52

Y = 25

Hence, Rosemary's age =77 and Hannah's age = 25