Question

6 Two numbers differ by 3. The sum 1 point
of twice the smaller number and
thrice the greater number is 19 find
the numbers. *
5 and 2
2 and -5
10 and 8
-6 and 4​

Answer 1

Step-by-step explanation:

$x - y = 3$

$3x + 2y = 19$

5 and 2 is the answer

$5 - 2 = 3$

$3(5) + 2(2) = 15 + 4 = 19$

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Answer 2

Answer:

5 and 2.

Step-by-step explanation:

Let the smaller no.=x

and the larger no.=y

According to the questions, y-x = 3

=y=3+x------(1)

Also,2x +3y=19------(2)

substitute the value of y in equation (2),we get

2x+3(3+x)=19

Now, 2x + 9+3x=19

5x+9=19

=> 5x=19-9

=>x=10/5 which is equal to 2.

Therefore,the smaller number is x=2

And the lager number is y = 3+x ( from equation 1)

=>y= 3+2

=5

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