linear equations and variable
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Let one number be x.
Then the other number will be 4 less than 3 times another = 3x - 4.
Given that if the sum is increased by 5, the result is 25.
x + (3x - 4) + 5 = 25
x + 3x - 4 + 5 = 25
x + 3x + 1 = 25
4x + 1 = 25
4x = 25 - 1
4x = 24
x = 24/4
x = 6.
If one number is 6, then the other number = 3x - 4
= 3(6) - 4
= 18 - 4
= 14.
Therefore the numbers are 6 and 14.
verification:
x + (3x - 4) + 5 = 25
6 + (3(6) - 4) + 5 = 25
6 + 18 - 4 + 5 = 25
6 + 14 + 5 = 25
25 = 25.
Hope this helps!
Then the other number will be 4 less than 3 times another = 3x - 4.
Given that if the sum is increased by 5, the result is 25.
x + (3x - 4) + 5 = 25
x + 3x - 4 + 5 = 25
x + 3x + 1 = 25
4x + 1 = 25
4x = 25 - 1
4x = 24
x = 24/4
x = 6.
If one number is 6, then the other number = 3x - 4
= 3(6) - 4
= 18 - 4
= 14.
Therefore the numbers are 6 and 14.
verification:
x + (3x - 4) + 5 = 25
6 + (3(6) - 4) + 5 = 25
6 + 18 - 4 + 5 = 25
6 + 14 + 5 = 25
25 = 25.
Hope this helps!
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