Answer:
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)-
<em> 3 x + 3 y = 75</em>
<em><u>- 3 x + 2 y = 25</u></em>
<em><u>5 y = 100</u></em>
<em>y = 20</em>
Put y = 100 in equation (i)-
We get,
<em>x = 25 - 20</em>
<em>x = 5</em>
<em>Therefore x = 5 and y = 20 .</em>