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.