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ser-zykov [4K]
3 years ago
14

The difference of two numbers is 19. The larger number is three more than twice the smaller. Find the numbers.

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0
Let x=the larger number
y=the smaller number 
If the difference of two numbers is 19,then
x - y = 19
If the larger number is 3 more than twice the smaller, 
x = 2y + 3
subsituting
x = 2y + 3 \: to \: x - y = 19
2y + 3 - y = 19 \\ 2y - y + 3 = 19 \\ y + 3 = 19 \\ y + 3 - 3 = 19 - 3 \\ y + 0 = 16
y = 16
but ×=2y+3 so,
x = 2 (16) + 3 \\ x = 32 + 3 \\ x = 35
Therefore, the two numbers are 16 and 35. 


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