Question

Two numbers are in the ratio 5:7.if 2 is subtracted from each numbers,then the ratio becomes 7:10.find the numbers

Answer 1

Answer:

number =30 and 42

Step-by-step explanation:

hope it help you

Answer 2

Given :

• Two numbers are in the ratio 5:7 .
• If 2 is subtracted from both the numbers , then the ratio becomes 7:10 .

To Find :

• The two numbers .

Solution :

$\longmapsto\tt{Let\:first\:number\:be=5x}$

$\longmapsto\tt{Let\:second\:number\:be=7x}$

If 2 is subtracted from both the numbers :

$\longmapsto\tt{First\:Number=5x-2}$

$\longmapsto\tt{Second\:Number=7x-2}$

A.T.Q :

$\longmapsto\tt{\dfrac{5x-2}{7x-2}=\dfrac{7}{10}}$

$\longmapsto\tt{10(5x-2)=7(7x-2)}$

$\longmapsto\tt{50x-20=49x-14}$

$\longmapsto\tt{50x-49x=-14+20}$

$\longmapsto\tt\bf{x=6}$

Value of x is 6 .

Therefore :

$\longmapsto\tt{First\:Number=5(6)}$

$\longmapsto\tt\bf{30}$

$\longmapsto\tt{Second\:Number=7(6)}$

$\longmapsto\tt\bf{42}$

So , The two numbers are 30 and 42 .