Question

What is to be added to 73.6 to get 91.03​

Answer 1

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

• $\sf\:73.6+? =91.03$

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

• Number which when added to 73.6 gives 91.03 .

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

Let the required number be x.

According to the question :

$\sf\:73.6+x =91.03$

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• Converting decimal into fraction form

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$\sf\implies\:\frac{736}{10}+x =\frac{9103}{100}$

$\sf\implies\:\frac{736+10x}{10} =\frac{9103}{100}$

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• Cross multiplying

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$\sf\implies\:100(736+10x) = 9103 \times 10$

$\sf\implies\:73600+1000x = 91030$

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• Transposing 73600 to the other side

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$\sf\implies\:1000x = 91030-73600$

$\sf\implies\:1000x = 17430$

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• Transposing 1000 to the other side

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$\sf\implies\:1000x = \frac{17430}{1000}$

$\sf\implies\:1000x = \frac{1743\cancel{0}}{100\cancel{0}}$

$\sf\implies\: x=\frac{1743}{100}$

$\large{\mathfrak\red{\implies\:x\:=\:17.43}}$

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$\dag\:\underline{\sf So\:the\:required\:number\:is\:17.43}$

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

$\sf\:73.6+17.43=91.03$

$\sf\to\:\frac{736}{10}+\frac{1743}{100}=91.03$

$\sf\to\:\frac{7360+1743}{100}=91.03$

$\sf\to\:\frac{9103}{100}=91.03$

$\sf\to\:91.03=91.03$

$\small\fbox\purple{Hence\:Verified}$

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!! Hope it helps !!

Answer 2

Answer:

17.43 should be added to 73.6 to get 91.03.

For this we have to subtract 91.03 with 73.6

Which gives the answer as 17.43.

Step-by-step explanation:

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