Question

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

Answer:

the numbers are 15 and 25

Step-by-step explanation:

Let the two numbers be x,y

y

x

=

5

3

⇒x=

5

3

y

y+10

x+10

=

7

5

=7x+70=5y+50

=7x+20=5y

=7x+20=5y=0

=7(

5

3

)y+20−5y=0

=21y+100−25y=0

=100−4y=0

=100=4y

∴y=25

x=

5

3

×25=15

Thus numbers are 15,25

Answer 2

Step-by-step explanation:

let 3:5 be 3x 5x

3x + 10 + 5x + 10 equal to 5:7

let 5:7 be 5x,7x

8x+20 equal to 12x

20 equal to 12x - 8x

20 equal to 4x

x equal to 20/4

x equal to 5

number are 3x +10 equal to 25

and 5x+10 equal to 35 hope you like it