Question

the difference between two number is 10 three times of smaller is equal to two times of greater find them

Answer 1

Answer:

Step-by-step explanation:

let the numbers be x,y

so x-4=y.....1

And 3y=2x+4

=2x+4/3=y..........2

from 1 and 2

y=x-4=2x+4/3

=>3x-12=2x+4

=>3x-2x=4+12

=>x=16

And y =16-4=12

12×3=36

16×2=32

so 3×12 is 4 greater than 2×16

so 12 and 16 are the numbers

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Answer 2

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{Numbers \ are \ 30 \ and \ 20 \ respectively.}$

$\bold\orange{Given:}$

$\bold{=>The \ difference \ between \ two \ numbers}$

$\bold{is \ 10.}$

$\bold{=>Three \ times \ of \ smaller \ number}$

$\bold{is \ equal \ to \ greater \ number.}$

$\bold\pink{To \ find:}$

$\bold{The \ numbers.}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{Let \ the \ greater \ number \ be \ x}$

$\bold{and \ smaller \ number \ be \ y.}$

$\bold{According \ to \ first \ condition}$

$\bold{x-y=10...(1)}$

$\bold{According \ to \ second \ condition}$

$\bold{2x=3y}$

$\bold{\therefore{2x-3y=0...(2)}}$

$\bold{Multiply \ eq(1) \ by \ 2, \ we \ get}$

$\bold{2x-2y=30...(3)}$

$\bold{Subtract \ equation \ (2) \ from \ equation \ (3)}$

$\bold{2x-2y=20}$

$\bold{-}$

$\bold{2x-3y=0}$

____________________

$\bold{y=20}$

$\bold{Substitute \ y=20 \ in \ equation (1)}$

$\bold{x-20=10}$

$\bold{x=10+20}$

$\bold{x=30}$

$\bold\purple{\tt{\therefore{Numbers \ are \ 30 \ and \ 20 \ respectively.}}}$