The sum of two numbers is 35 the smaller number is 7 less than the larger number what are the numbers
Mathematics · Middle School · Tue Nov 03 2020
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Given the statement:
The sum of two numbers is 35 the smaller number is 7 less than the larger number
Determine the number:
Solution:
Let x represent the larger number
x - 7 represent the smaller number.
Equate the given representations in one single solution with the operation of addition and the sum of 35, as the statement says.
x + (x - 7) = 35
x + x -7 = 35
Solve for x, by transposing first -7 on the other side of the equation, note that when transposing a number the sign changes.
2x = 35 + 7
2x = 42
Divide both sides by 2 in order to find the value of x.
x = 21
Large number = 21
Small number = 21 -7 = 14
Check:
21 + 14 = 35
Final answer:
Large number = 21
Small number = 14