Question

13. Two numbers are in the ratio 3:5. If each is increased by 10, the ratio between the new numbers
so formed is 5 : 7. Find the original number.​

Answer 1

Answer:

A] Let the two numbers be x,y

yx=53   

⇒x=53y

y+10x+10=75

=7x+70=5y+50

=7x+20=5y

=7x+20=5y=0

=7(53)y+20−5y=0

=21y+100−25y=0

=100−4y=0

=100=4y

∴y=25

   x=53×25=15

Thus numbers are 15,25