Question

Two numbers are such that the ratio between them is 5:9. If each is decreased by 3, the ratio between the new numbers so formed is 1:2. Find the original numbers.

Answer 1

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...

Answer 2

Step-by-step explanation:

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

Hopes it help you♥️♥️