Question

Using balancing method x+18=43​

Answer 1

$\large\sf\underline{Given\::}$

• x + 18 = 43

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$\large\sf\underline{To\::}$

• Find the value of x following the balancing method

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$\large\sf\underline{Understanding\:about\:balancing\:method:}$

In an equation, the equality sign shows the balance between the two side. This balance remains the same even if we add, subtract, multiply or divide both sides of the equation by the same number. So let's verify the meaning of balancing method by using all the methods of addition, subtraction, multiplication and division !

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$\large\sf\underline{Solution\::}$

$\sf\:x+18=43$

• By addition of 18 on both sides of the equation

$\sf\implies\:x+18+18=43+18$

$\sf\implies\:x+36=61$

$\sf\implies\:x=61-36$

$\small\fbox\blue{=>\:x\:=\:25}$${\sf{{\red{★}}}}$

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$\sf\:x+18=43$

• By subtraction of 18 on both sides of the equation

$\sf\implies\:x+18-18=43-18$

$\sf\implies\:x+\cancel{18}-\cancel{18}=25$

$\small\fbox\blue{=>\:x\:=\:25}$${\sf{{\red{★}}}}$

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$\sf\:x+18=43$

• By multiplying 18 on both the sides

$\sf\implies\:18(x+18) =43 \times 18$

$\sf\implies\:18x+324=774$

$\sf\implies\:18x=774-324$

$\sf\implies\:18x=450$

$\sf\implies\:x=\frac{450}{18}$

$\sf\implies\:x=\cancel{\frac{450}{18}}$

$\small\fbox\blue{=>\:x\:=\:25}$${\sf{{\red{★}}}}$

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$\sf\:x+18=43$

• By dividing both sides of the equation by 18

$\sf\implies\:\frac{x+18}{18}=\frac{43}{18}$

$\sf\implies\:x+18=\frac{43 \times 18}{18}$

$\sf\implies\:x+18=\frac{43 \times \cancel{18}}{\cancel{18}}$

$\sf\implies\:x+18=43$

$\sf\implies\:x=43-18$

$\small\fbox\blue{=>\:x\:=\:25}$${\sf{{\red{★}}}}$

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$\dag\:\underline{\sf Hence\:by\:all\:the\:methods\:the\:value\:of\:x\:is\:found\:to\:be\:25.}$

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!! Hope it helps !!