One number added to three times another number is 24. five times the first number added to three times the other number is 36. find the numbers.

The value of the two numbers are 3 and 7 and this can be determine by forming the linear equations in two variables with the help of the given data.

Given :

Let the first number be 'a' and the second number be 'b'. Then the linear equations are:

---- (1)

 ---- (2)

From equation (1) find the value of 'a' in terms of 'b'.

a = 24 - 3b ----- (3)

Now, put the value of 'a' in equation (2).

5(24 - 3b) + 3b = 36

120 - 15b +3b = 36

120 - 12b = 36

12b = 84

b = 7

Now, put the value of 'b' in equation (3).

a = 3

Therefore, the two numbers are 3 and 7.

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