Question

. Two numbers are in the ratio 3:5. If each number is increased by 10, the
resultant numbers are in the ratio 5 : 7. Find the original numbers
​

Answer 1

15 and 25

Step-by-step explanation:

Let their ratios be x.

Then,the numbers are 3x and 5x.

After increasing 10,they are in ratio 5:7

Now,from the above equations,

3x+10 = 5x

Also,

5x+10 = 7x

Now, simplify these eq.

10 = 2x [From both the equations]

x = 5

Thus,the numbers are 15 (3×5) and 25(5×5)

Verifying:

15:25 = 3:5 [Hence verified]

Add 10 to both,

25 and 35

Now,25:35 = 5:7 [Hence verified]

Hence,the whole eq. is verified

Answer 2

Answer:

LET THE NUMBER IS x

3x

5x

3x+10/5x+10=5x/7x