Question

the two numbers in the ratio 3 : 5. each number is increased by 10 then the ratio becomes 5 : 7. what are the numbers?

Answer 1

Hello.. ☺

let the two numbers are x and y
x/y = 3/5
x=(3y) /5.......................................(1)

(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 y in eq.(1)


x = (3×25)/5

x=15

thank you ☺

Answer 2

Let the two number be x and y.

according to question
$\frac{x}{y} = \frac{3}{5} \\ x = \frac{3}{5} \times y \: \: ................(1)$
when each number is increased by 10

$\frac{x + 10}{y + 10} = \frac{5}{7} \\ 7x + 70 = 5y + 50$
from eq (1)
7x=5y+50
4y=100
y = 25

from eq 1

× = 15