Question

a positive number is 7 times another number. if 25 is added to the both numbers, then one of the new number becomes twice the other new number. What are the numbers?

Answer 1

Answer:

the no is 5

Step-by-step explanation:

x+25=7x+25

2x+50=7x+25

7x-2x = 25

x= 25/5=5

Answer 2

Answer

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Given

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• A positive number is 7 times another number

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• When 25 is added to the both numbers the one of the new number becomes twice the other new number.

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Find

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• Both the numbers

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Solution

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• Let one number be "x"

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• Let the other number be "y"

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$\underline{\bold{\texttt{As per question -}}}$

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$\bf \dag \ \ x = 7y$ -----(1)

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$\underline{\bold{\texttt{When 25 is added to both numbers :}}}$

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• 1st number = x + 25

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• 2nd number = y + 25

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$\underline{\bold{\texttt{As per question -}}}$

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Clearly "y" is smaller number

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So,

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$\sf \longmapsto 2(y + 25) = x + 25$ -----(2)

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$\underline{\bold{\texttt{Putting the value of x from (1) to (2) }}}$

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$\sf \longmapsto 2(y + 25) = 7y + 25$

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$\sf \longmapsto 2y + 50 = 7y + 25$

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$\sf \longmapsto 5y = 25$

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$\bf \dashrightarrow y = 5$ ------(3)

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$\underline{\bold{\texttt{Putting the value of y from (3) to (1) }}}$

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$\sf \longmapsto x = 7 \times 5$

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$\bf \dashrightarrow x = 35$

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• Hence the numbers are 35 & 5