Question

the difference of two numbers is 4.three times the smaller number is 4 more than twice the larger number . what are numbers

Answer 1

Let consider the numbers are X & Y

According the question:the difference of two numbers is 4.

∴ X -Y = 4                

X = (4 +Y)                 (1)  

Also it is said , three times the smaller number is 4 more than twice the larger number.

∴ 3Y = 2X + 4

 3Y = 2 ( 4 +Y) +4

3Y = 8 + 2Y + 4

3Y - 2Y = 12

Y =12

Now we have to put the value of Y in equation ( 1):-

X = (4 +Y)  

X = 4 + 12

X= 16      

Hence the numbers are 12 & 16.  

* ( 16 - 12 = 4)

Ans :- The numbers are 12 & 16.  

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Answer 2

The numbers are $12$ and $16$.

Step-by-step explanation:

Consider the numbers as $x$ and $y$.

Given - The difference between two numbers is $4$.
$x - y = 4\\x = (4 + y)$     ...... (1)

Also given that, three times the smaller number is $4$ more than twice the larger number.

$3y = 2x + 4\\3y = 2(4 + y) +4\\3y = 8+ 2y + 4\\3y - 2y = 12\\y = 12$

Put the value  $y ( y=12)$  in equation (1):

$x = (4 + y)\\x = 4 + 12\\x = 16$

To check: $(16 - 12 = 4)$

Hence, the numbers are $12$ and $16$.

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