The sum of two odd numbers is 80 and their difference is 6
Work out these numbers.
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Answer:
37 and 43
Step-by-step explanation:
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Given:
(i) The sum of two odd numbers is 80
(ii) Their difference is 6
To find:
(i) The numbers
Answer:
Let the numbers be x and y.
Given, sum of them is 80.
So, x+y = 80
⇒ x = 80-y ...(1)
Again
Their difference is 6.
Considering x to be the larger number, we get,
x-y = 6
Replacing x as 80-y from (1)
⇒ 80-y-y=6
⇒ 2y = 80-6
⇒ y = 74/2
⇒ y = 37
x = 6+y
= 6+37
= 43
So, the numbers are 43 and 37.
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