Thomas and Matt has some money with them in the ratio of 3:4. If their father gives Rs.30 to each of them then the ratio becomes 4:5. What would be the ratio if Thomas spend Rs.40 and Matt spend Rs. 20 from what they have now?  Select:	A) 1 : 2	B) 2 : 3	C) 3 : 4	D) 4 : 5	E) 5 : 6

Rationale: let money of thomas and matt be x and y respectively . x / y = 3 / 4 = > x = 3 / 4 y ( x + 30 ) / ( y + 30 ) = 4 / 5 = > 5 x + 150 = 4 y + 120 = > 5 x = 4 y - 30 but x = 3 / 4 y 5 * 3 / 4 y = 4 y - 30 15 y = 16 y - 120 = > y = 120 = > x = 3 * 120 / 4 = > x = 90 ratio of their money , if thomas spend rs . 40 and matt spend rs . 20 = > ( 90 - 40 ) / ( 120 - 20 ) = 50 / 100 . = > 1 : 2 answer : a
Answer: A