Question

the difference of two numbers is 3 and the sum of three times the larger one and twice the smaller one is 19 find the two numbers​

Answer 1

Answer:

The numbers are 2 and 5

Step-by-step explanation:

Let one no be x and the other be 3+x

According to question

3(3+x) + 2x =19

9 +3x +2x =19

5x = 10

x = 2

Answer 2

The two numbers are 5 and 2.

Step-by-step explanation:

Let x and y are two unknown numbers, where x>y.

The difference of two numbers is 3.

$x-y=3$           .... (1)

The sum of three times the larger one and twice the smaller one is 19.

$3x+2y=19$        ... (2)

From equation (1) we get

$x=3+y$         .... (3)

Substitute x=3+y in equation (2).

$3(3+y)+2y=19$

$9+3y+2y=19$

$5y=19-9$

$5y=10$

Divide both sides by 5.

$y=2$

Substitute y=2 in equation (3).

$x=3+2=5$

Therefore, the two numbers are 5 and 2.

#Learn more

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