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The sum of two numbers is 7 and their product is 12. What is the sum of their reciprocals?
- A7/12
- B8/15
- C7/13
- D12/7
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CCommunity
Let, two numbers are x and y
Sum of these two numbers is 7
x + y = 7 -----(1)
Product of these two numbers is 12
xy = 12 -----(2)
Divide equation (1) by xy
x/xy + y/xy = 7/xy
1/y + 1/x = 7/12
∴ Sum of their reciprocals is 7/12
Sum of these two numbers is 7
x + y = 7 -----(1)
Product of these two numbers is 12
xy = 12 -----(2)
Divide equation (1) by xy
x/xy + y/xy = 7/xy
1/y + 1/x = 7/12
∴ Sum of their reciprocals is 7/12