Question

two numbers in the ratio1:2.when 10 is added to each ,they are in the ratio2:3.find the numbers​

Answer 1

Answer:

10 and 20

Step-by-step explanation:

let the nos be x and y

x:y=1:2

x/y=1/2

2x=y ----------- equation 1

according to the statement

(x+10)/(y+10)=2/3

(x+10)*3=2*(y+10)

3x+30=2y+20

3x+30=4x+20

x=10

y=2x=20

Answer 2

let the two no be X and y

given

$\frac{x}{y} = \frac{1}{2}$

therefore ,

2x= y .......(1)

given if we add 10 both numerator and denominator

then the ratio be 2:3

$\frac{x + 10}{y + 10} = \frac{2}{3}$

$3x + 30 = 2y + 20$

put y = 2x from (1)

then

$3x + 30 = 4x + 20$

$3 0- 20 = 4x - 3x$

$x = 10$

thus ,y = 2x= 20

therefore two numbers X and y are 10 and 20

I hope it helps you

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