Question

5. Two numbers are such that the ratio between them is 3:5. If each is increased by 5, the
ratio between the new numbers so formed is 2:3. Find the original number.​

Answer 1

Answer:

let the two numbers are x and y

then,

x/y = 3/5

x=(3y) /5. ......(1)

also,

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

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

7x = 5y+50-70=5y-20

put the value of x from eq. (1)

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

21y =25y - 100

25y-21y = 100

y = 100/4

y =25

put the value of y in eq.(1)

x = (3×25)/5

x=15

hence , the numbers are 15 and 25

I hope this will help you...

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

2 number are in ratio=3:5=3x/5x

when each is increased by 5 then they are in the ratio=2:3=2/3

3x+5/5x+5=2/3

cross multiplication

(3x+5)×3=(5x+5)×2

9x+15=10x+10

15-10=10x-9x

5=x

then

3x=3×5=15

5x=5×5=25

the numbers are=15,25