Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Rani and Raja collected some stamps in the ratio 1 : 2. When Rani received 35 stamps from Raja, the ratio of the number of Rani`s stamps to Raja`s stamps

became 4 : 3. How many stamps did they have altogether?

Let the original number of stamps Rani n Raja have be x and y respectively. acc+. to the 1st condition; x/y=1/2 therefore 2x=y therefore 2x-y=0-----(i) acc. to the 2nd condition; x+35/y-35=4/3 therefore (x+35)3=(y-35)4 therefore 3x+105=4y-140 therefore 3x-4y=-245---(ii) multiplying (i) by 4; 8x-4y=0---(iii) subtracting (ii) from (iii); 8x-4y=0 3x-4y=-245 (-) (+) (+) ------------------- 5x = 245 x=49 therefore Rani has 49 stamps therfore Raja has 2(49)stamps(from eqn (i))=98stamps therefore both of them had 98+49=147stamps altogether