Number of natural solutions of equation x₁ + x₂ = 100 , such that x₁ and x₂ are not mul

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4-2.Quadratic Equations and Inequations

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Number of natural solutions of the equation $x_1 + x_2 = 100$ , such that $x_1$ and $x_2$ are not multiple of $5$

A

$90$

B

$85$

C

$80$

D

$50$

Solution

$x_1 + x_2 = 100$

if $x_1$ and $x_2$ are divisible by $5$ , then

$x_1 = 5,10,15, …….. ,95$

Standard 11

Mathematics

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