The sum of two number is 25 if thrice the smaller number is subracted from twice the larger number, the subtraction is also 25 find the numbers

The numbers are 5 and 20 respectively.

Step-by-step explanation:

Let two numbers are x and y.

According to question-

x + y = 25(i)

Given x is smaller number and y is larger number.

then,

2 y - 3 x = 25(ii)

To solve equation (i) and (ii)-

Firstly multiply by 3 in equation (i) and then add in equation (ii)-

 3 x + 3 y = 75

- 3 x  + 2 y = 25

5 y = 100

y = 20

Put y = 100 in equation (i)-

We get,

x = 25 - 20

x = 5

Therefore x = 5 and y = 20 .

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.