Question

Class 7 maths. Solve using transposition method. ​

Answer 1

Answer:

Question

$\blue \longrightarrow \sf \dfrac \pink{3} \pink{4} \purple{ (2m - 9)}= \dfrac \pink{21} \pink{40} \purple{ (5m - 30)}$

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Required Solution

$\red\longmapsto\sf \dfrac \pink{3} \pink{4} \purple{ (2m - 9)}= \dfrac \pink{21} \pink{40} \purple{ (5m - 30)}$

$\red \longmapsto\sf\dfrac \pink{(2m - 9)} \pink{(5m - 30)} = \dfrac \purple{21} \purple{40} \times \dfrac \purple{4} \purple{3}$

$\red \longmapsto\sf\dfrac \pink{(2m - 9)} \pink{(5m - 30)} = \cancel\dfrac\purple{84} \purple{120}$

$\red \longmapsto\sf\dfrac \pink{(2m - 9)} \pink{(5m - 30)} = \dfrac \purple{7} \purple{10}$

${ \red\longmapsto \sf \pink{{(( 2m \times 10) - \purple{(9 \times10))}} ={ ((5m \times 7) - \purple{ (30 \times 7))}}}}$

$\red \longmapsto\sf \pink{(20m} - \purple{90)} = \pink {(35m} - \purple{210)}$

$\red \longmapsto\sf \pink{35m - 20m} = \purple{90 - 210}$

$\red \longmapsto \sf \pink{15m}= \purple{- 120}$

$\red \longmapsto \sf \pink{m} = \purple{ \dfrac{ - 120}{15} }$

$\red\longmapsto \sf \pink{m} = \purple{ - 8}$

$\large\boxed{\frak {\pink{M}= \purple{-8}}}$

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Verification

Here we know the value of m is -8

So, Now putting value of m in equation.

$\red\longmapsto\sf \dfrac \purple{3} \purple{4} \pink{ (2m - 9)}= \dfrac \purple{21} \purple{40} \pink{ (5m - 30)}$

${ \red\longmapsto\sf \dfrac \purple{3} \purple{4} \pink{ ((2 \times - 8) - 9)}= \dfrac \purple{21} \purple{40} \pink{( (5 - 8) - 30)}}$

$\red\longmapsto\sf \dfrac \purple{3} \purple{4} \pink{ ( - 16 - 9)}= \dfrac \purple{21} \purple{40} \pink{ ( - 40 - 30)}$

$\red\longmapsto\sf \dfrac \purple{3} \purple{4} \pink{ (7)}= \dfrac \purple{21} \purple{40} \pink{ (10)}$

$\red\longmapsto\sf \dfrac \purple{3 \times 7} \purple{4}= \dfrac \pink{21 \times 10}\pink {40}$

$\red\longmapsto\sf \dfrac \purple{21} \purple{4} = \cancel\dfrac \pink{210} \pink{40}$

$\red\longmapsto\sf \dfrac \purple{21} \purple{4} = \dfrac \pink{21} \pink{4}$

$\large \boxed{\sf \purple{LHS }= \pink {RHS }}$

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Hence, Verified ✔

Answer 2

Answer:

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