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.

5 and 20

Step-by-step explanation:

Let the numbers be x and y

and x be the smaller number

Then

y+x=25 ... eqn (1) x2

2y-3x=25 ... eqn (2) x1

2y+2x=50

2y-3x=25

Subtract eqn 2 from 1

then,

5x=25

x=5

substitute the value of x in eqn 1

y+5=25

y=25-5

y=20

Therefore the numbers are 20 and 5