Question

Two numbers as in the ratio 2:3.1f 5 is added
to each number, the ratio becomes 5:7.
Find the numbers.​

Answer 1

Answer:

Step-by-step explanation:

Let the ratios be 2x and 3x respectively,  

So,

2x+5/3x+5 = 5/7

So,

7(2x+5) = 5(3x+5)

14x + 35 = 15x + 25

14x - 15x = 25 - 35

-x = -10

x = 10

then the numbers are 20 & 30 respectively..

Answer 2

Step-by-step explanation:

x/y=2/3----—(1)

X+5/y+5=5/7---------(2)

From(1),

x=2y/3----------(3)

Substitute this value in equation (2)

2y/3+5/y+5=5/7

=>2y+15/3y+15=5/7

=> 14y+105=15y+75

=>y=30

Substituting this value in equation (3)

=>2×30/3

x=20

Hence solutions are x=20, y=30