Question

One number is 9 more than other number. If the sum of these numbers is 25, find the numbers? Please show the working as well

Answer 1

Answer:

8, 17

Step-by-step explanation:

Let x and y be the numbers

x+9 = y

x+y = 25

So, x+(x+9) = 25

2x = 25-9

x = 8

y = x+9 = 8+9 = 17

Answer 2

Given: One number is 9 more than other number.

☯ Let the first number be x.

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Therefore,

• Other number = (x + 9)

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$\underline{\bigstar\:\boldsymbol{According \ to \ Question\::}}$

• If the sum of these numbers is 25.

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$:\implies\sf x + x + 9 = 25 \\\\\\:\implies\sf 2x + 9 = 25 \\\\\\:\implies\sf 2x = 25 - 9\\\\\\:\implies\sf 2x = 16\\\\\\:\implies\sf x = \cancel\dfrac{16}{2}\\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 8}}}}}\:\bigstar$

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Hence,

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• First number, x = 8
• Second number, (x + 9) = 8 + 9 = 17

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$\therefore\:{\underline{\sf{Hence, \ required \: numbers \: are\: \bf{8 \: and \: 17}.}}}$