The difference between two numbers is 18.If their sum is 86 what are the numbers?
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Answers
Answered by
12
Define x:
Let one number be x
The difference between two numbers is 18
⇒ The other number is x + 18
Form equation:
The sum of the two numbers is 86
⇒ x + (x + 18) = 86
Solve x:
x + (x + 18) = 86
Remove bracket:
x + x + 18 = 86
Combine like terms:
2x + 18 = 86
Subtract 18 from both sides:
2x = 68
Divide both sides by 2:
x = 34
Find the numbers:
one number = x = 34
The other number = x + 18 = 34 + 18 = 52
Answer: The two numbers are 34 and 52
AnswerStation:
og you already did
Answered by
1
according to the question, the difference between two numbers is 18.
let the two numbers be x and y.
therefore y - x = 18
>> y = x + 18 …(i)
and their sum is 86.
>> y + x = 86 …(ii)
substitute (i) in (ii)
>> x + 18 + x = 86
>> 2x + 18 = 86
>> 2x = 86 - 18
>> 2x = 68
>> x = 68/2
>> x = 34
hence, the two numbers are :-
◾x = 34
◾y = x + 18 = 34 + 18 = 52
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