Question

(d) Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio
between the new numbers so formed is 5:7. Find
the original numbers​

Answer 1

Let the two numbers be x,y

According to the question,

x/y=3/5 .......(i)

If each is increased by 10,

(x+10)/(y+10)=5/7

7x+70=5y+50

7x-5y=-20

By equation (i),put the value of x= (3/5)y

7(3/5)y-5y=-20

(21/5)y-5y=-20

21y-25y=-20*5

-4y=-100

y=25

Now ,x=(3/5)y

x =(3/5)25

x =15

Original numbers are 15,25.

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