One number is four more than twice another. Their sum is 34. Find the numbers.
Mathematics · Middle School · Mon Jan 18 2021
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Given the numerical statement:
One number is four more than twice another. Their sum is 34.
Find the two numbers.
Solution:
Let x = 1st number
2x + 4 = 2nd number
Equate the two representations into one single solution, whereas the resulting value or the sum is 34.
x + 2x + 4 = 34
Solve for x
3x + 4 = 34
Transpsoe 4 on the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
3x = 34 - 4
3x = 30
DIvide both sides by 3, in order to cancel out 3x, leaving behind x.
3x/3 = 30/3
x = 10
1st number = 10
2nd number
= 2(10) + 4
= 20 + 4
= 24
Final answer:
1st number = 10
2nd number = 24