the sum of 2 no. is 99 and one of them is 17 more than the other. what are the 2 number
Answers
Let n = the smaller number.
Since the larger number is 17 more than the smaller one, then ...
Let n + 17 = the larger number.
Since "the sum of the two numbers is 99," then we can translate this statement mathematically into the following equation to be solved for n:
n + (n + 17) = 99
n + n + 17 = 99
Collecting like-terms on the left side of the equation, we get:
2n + 17 = 99
Now, subtracting 17 from both sides, we have:
2n + 17 - 17 =99 - 17
2n +0 = 82
2n=82
Now, divide both sides by 2, we get:
(2n)/2 =82/2
(2/2)n = 82/2
(1)n = 41
n = 41
Therefore, ...
n + 17 = 41 + 17
= 58
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Answer:
let one no. be x
then another will be x+17
x+x+17=99
2x+17=99
2x=99-17
2x=82
x=82/2
x=41
another no. =41+17
=58