A and B have some money with them A said to B if you give me Rs 100 my money will become 75 of the m...

Question

A and B have some money with them A said to B if you give me Rs 100 my money will become 75 of the money left with you B said to A instead if you give me Rs 100 your money will become 40 of my money How much money did A and B have originally

Accepted Answer

Lets assume A has money x And B has money y Then according to the given conditions we have x 100 y 100 x 75100 x 100 y 100 x 34 4x 400 3y 300 4x 3y 400 300 4x 3y 100 i Also x 100 y 100 40100 x 100 y 100 25 5x 500 2y 200 5x 2y 200 500 5x 2y 700 ii Now multiplying i by 2 and ii by 3 we have 8x 6y 1400 15x 6y 2100 7x 3500 x 3500 7 x 500 On substituting the value of x in i we get 4500 3y 700 2000 3y 700 3y 2000 700 y 27003 y 900 Therefore A has money Rs 500 and B has money Rs 900

ML Aggarwal Solutions Class 9 Mathematics Solutions for Problems on Simultaneous Linear Equations Exercise 6 in Chapter 6 - Problems on Simultaneous Linear Equations