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

The two numbers is 5 and 2.

Step-by-step explanation:

hope it is helpful.

please mark me as brainliest

Answer 2

Given info :-

• The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19.

To Find:-

• The two numbers .

Solution :-

Let us take first number be x and second be y . Also let us suppose x > y . Now ,

★ According to first Condition ,

$\sf \implies x - y = 3$

$\sf \implies 2(x -y)=6$

$\boxed{\red{\sf \implies 2x -2y =6 }}$

★ According to Second Condition ,

$\sf \implies 3x + 2y = 19$

On adding these two equⁿ:-

$\sf \implies 2x -2y + 3x +2y = 19+6$

$\sf \implies 5x = 25$

$\sf \implies x =\cancel{\dfrac{25}{5} }$

$\boxed{\red{\sf \implies x =5 }}$

Put this in (i) :-

$\sf \implies x - y = 3$

$\sf \implies 5-y=3\\\implies\sf y = 5-3\\\boxed{\red{\sf \implies y=2 }}$

Hence the value of x is 5 and y is 2 .