Question

In two numbers, if 3 is added to each number, then their ratio is 1:2,
however, if 3 is subtracted from each number, then their ratio is 2:5. one of
the number is :
O
21
018
O 15
O 12​

Answer 1

Answer

The two numbers will be 15 and 33

Step-by-step explanation

Let, Two numbers be x and y

Using First information given

if 3 is added to each number their ratio will be 1 : 2

so,

$\longmapsto \sf{\frac{x+3}{y+3}=\frac{1}{2}}$

cross multiplying

$\longmapsto\sf{2x+6=y+3}$

$\longmapsto\sf{y=2x+3\:\:..eqn(1)}$

Using second information given

if 3 is subtracted from each number then ratio becomes 2:5

so,

$\longmapsto\sf{\frac{x-3}{y-3}=\frac{2}{5}}$

cross multiplying

$\longmapsto\sf{5x-15=2y-6}$

Using eqn (1)

$\longmapsto\sf{5x-15=2(2x+3)-6}$

$\longmapsto\sf{5x-15=4x+6-6}$

$\longmapsto\sf{5x-4x=15}$

$\longmapsto\pink{\underline{\underline{\sf{x=15}}}}$

Putting this value in eqn(1)

$\rightarrowtail\sf{y=2x+3}\\\rightarrowtail\sf{y=2(15)+3)}\\\rightarrowtail\pink{\underline{\underline{\sf{y=33}}}}$

Hence, the two numbers will be 15 and 33 .

Answer 2

Answer:

x=15 and y =33

Step-by-step explanation:

Hope it helps

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