the sum of two numbers is 80 and the greater number exceeds twice the smaller by 11.Find the numbers.
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16
Let the numbers be x and 2x+11
x+2x+11=80
3x=69
x=23
Then numbers will be 23 and 23+23+11
23,57
x+2x+11=80
3x=69
x=23
Then numbers will be 23 and 23+23+11
23,57
abhi569:
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Answered by
13
- Greater no. = x = 57
- Smaller no. = 23
_______________________________________
The sum of two numbers is 80.
Thus,
Let the greater number be "x" then smaller number will be "(80-x)"
Also,
The greater number exceeds twice the smaller by 11.
Thus,
Greater no. = 2•(Smaller no.) + 11
⇒x = 2(80-x) + 11
⇒ x = 160 - 2x + 11
⇒x + 2x = 160 + 11
⇒3x = 171
⇒x = 171/3
⇒x = 57
Hence,
- Greater no. = x = 57
- Smaller no. = 80-x = 80-57 = 23
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