The Sum Of Two Numbers Is 10, And Their Product Is 20. What Is The Sum Of Their Reciprocals?

The sum of two numbers is 10, and their product is 20. What is the sum of their reciprocals?

1/10
1/2
1
2

Explanation

We are given:

x+y=10

xy=20

The sum of the reciprocals of the two numbers is: 1/x+1/y =x+y/xy

Substitute the given values:

=10/20

=1/2

Related MCQs

If the point is (a,−a), then it lies on which line?

y=x
y=−x
y=a
x=a

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Find the sum: 2×1^2 +4×2^2 +6×3^ +⋯+20×10^2

76,440
77,000
77,440
6050

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Explanation

Given:

2 \times 1^^{2} + 4 \times 2^^{2} + 6 \times 3^^{2} + \dots + 20 \times 1 0^2

Write the terms as:

2 (1^^{3}) + 2 (2^^{3}) + 2 (3^^{3}) + \dots + 2 (1 0^^{3})

= 2 (1^^{3} + 2^^{3} + 3^^{3} + \dots + 1 0^^{3})

Using the formula:

1^3+2^3+cdots+n^3=left[frac{n(n+1)}{2}right]^2

For $n = 10$ :

= 2 [10 ( 11 )/2]^^{2}

= 2 (55)^^{2}

= 2 \times 3025

6050

$Last updated 27-07-2026 by NA$

If x+y=16 and x−y=3, then x^2 −^ 2 =?

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Explanation

Given:

$x + y = 16$
$x-y=3$

Using the identity:

$x^{2} - y^{2} = (x + y) (x - y)$ $= 16 \times 3$

$= 48$

$Last updated 27-07-2026 by NA$

If y is directly proportional to x and x = 2, y = 5, then find y when x = 7?

15
35/2
25/2
None of these

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The volume of a cube is 275. The length of one side of the cube is?

∛275
275²
275 ÷ 3
None of these

The sum of two numbers is 10, and their product is 20. What is the sum of their reciprocals?

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