A number x is 4 less than three times another number y. If their sum is increased by 5, the result is 25. Find both the numbers.

Let's create equations in two variables and then solve them.

Answer: The two numbers are 14 and 6.

Let's find both the numbers.

Explanation:

Given, two numbers x and y.

From the condition: ‘number x is 4 less than three times another number y’:

x = 3y - 4

Again, it’s given that: ‘if their sum is increased by 5, the result is 25’:

x + y + 5 = 25

Substituting the value of x in the second equation:

3y - 4 + y + 5 = 25

4y + 1 = 25

4y = 24

y = 6

Substituting the value of y in the first equation:

x = (3 × 6) - 4

x = 18 - 4 = 14

Thus, the two numbers are 14 and 6.