the sum of the age of a girl and her brother is 26 year 3 years ago her age was 4 time the age of her brother. find their present age?

Answer 1

g = girls age

b = boys age

g + b = 26 Subtract b to both sides

g + b - b = 26 - b

g = 26 - b

g - 3 = 4 ( b - 3 )

26 - b - 3 = 4 ( b - 3 )

23 - b = 4 b - 12 Add b to both sides

23 - b + b = 4 b + b - 12

23 = 5 b - 12 Add 12 to both sides

23 + 12 = 5 b - 12 + 12

35 = 5 b Divide both sides by 5

35 / 5 = 5 b / 5

7 = b

b = 7

g = 26 - b

g = 26 - 7

g = 19