If y = 3[x] + 1 = 4[x -1] -10 , then [x + 2y] is equal to (where [.] is G.I.F. )

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1.Relation and Function

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If $y = 3[x] + 1 = 4[x -1] -10$, then $[x + 2y]$ is equal to (where $[.]$ is $G.I.F.$)

A

$76$

B

$61$

C

$107$

D

$67$

Solution

$\mathrm{y}=3[\mathrm{x}]+1=4[\mathrm{x}]-4-10$

$\Rightarrow 3[\mathrm{x}]+1=4[\mathrm{x}]-14$

$\Rightarrow[\mathrm{x}]=15$ ……..$(1)$

$\because \mathrm{y}=3[\mathrm{x}]+1=46$ ………$(2)$

$[\mathrm{x}+2 \mathrm{y}]=[\mathrm{x}+92]=[\mathrm{x}]+92=15+92=107.$

Standard 12

Mathematics

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