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morpeh [17]
3 years ago
5

The sum of two numbers is twice their difference. the larger number is 6 more than twice the smaller. find the numbers.

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0
Let the numbers be x and y; x being the larger number and y being the smaller.

Given,
 
x + y = 2* (x - y)

x + y = 2x - 2y

x = 3y

Also given,

x = 6 + 2y

3y = 6 + 2y

--- y = 6

Thus, x = 3y = 3*6 = 18.

Therefore, the numbers are 18 and 6.
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