Question

One number is four less than three times another.
If their sum is increased lys, the result is 25. find the numbers​

Answer 1

Let the numbers be x and y respectively.

Now, According to the question:

One number is four less than three times another i.e, y=3x - 4(Let x is a smaller number than y).

Initial Sum: old sum = x+y

Now, sum is increased by 5 i.e, new sum = old sum + 5 = 25

So, new sum = 25 and old sum = 20.

Thus, we get two equations as: 3x - 4 =y (1st equation)

y = 20 - x (2nd equation)

Now, subtract equation2 from equation 1 we get:

(3x - 4) - (20 - x ) =y- y

3x - 4 -20 +x =0

4x - 24 =0

4x = 24

x = 6

Putting value of x in equation 2 , we get:

y = 20 - 6

y = 14

Hence, value of x and y are 6 and 14 respectively or 14 and 6 depending upon

which number you choosen smaller.

If, x>y then, x= 14 and y=6

otherwise then, x=6 and y=14

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