Question 800152
let x be the age of the mother and y be the age of the daughter
x +y = 50
x-5 = 7(y-5)
x = 7(y-5)+5
x = 7y -35 +5
x = 7y -30
now substitute for x in the first equation
7y -30 +y =50
8y = 80
y = 10
x = 40
The mother is 40 and the daughter is 10