Nadia and Manar together have 140 walnuts. If Nadia gives fifteen walnuts to Manar then they will each have an equal number of walnuts.

Question

How many walnuts does Manar have at the beginning?

Answer 1

Nadia has X walnuts.
Manar has Y walnuts.
Eq1: x + y = 140.

Nadia has x-15 walnuts.
Manar has y+15 walnuts.

x-15 = y+15.
Eq2: x - y = 30.
Add Eq1 and Eq2:
x + y = 140
x - y = 30
Sum: 2x = 170, X = 85.

x + y = 140.
85 + y = 140,
Y = 55.
Manar has 55 walnuts.