Question

A positive number is 5times another number . If 21 is added to both the number,then one of the new numbers become twice the other new number . what are the numbers​.

plz reply fast

Answer 1

Answer:

x+ 5 =x+21

2x=21-5

x= 18÷2x=9

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• A positive number is 5 times the another .
• If 21 is added to the both the one no. became the double of other

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______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• Original numbers = ??

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

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Let the original no. be x and 5x

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Acc. to the given statement :-

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2 (x + 21) = 5x + 21

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2x + 42 = 5x + 21

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2x - 5x = 21 - 42

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-3x = - 21

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3x = 21

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x = 21 / 3

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x = 7

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• Putting value of x in no.'s

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First no. = x = 7

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Second no. = 5x = 5 × 7 = 35

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• Required no.'s are 7 and 35

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$\sf{\red{\boxed{\bold{Verification}}}}$

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2 ( 7 + 21 ) = 35 + 21

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2 × 28 = 35 + 21

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56 = 35 + 21

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56 = 56

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⠀⠀⠀⠀⠀⠀⠀⠀..... Hence verified