Math, asked by dibakarswain4228, 11 months ago

A two digit number is 7 times the sum of its digit the number formed by reversing the digit is 18 less than the given number find the given number

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Answered by shaswat41
4

Answer:

42 is the right answer

Step-by-step explanation:

1

Secondary SchoolMath 13 points

A two digit number is seven times the sum of its digits, the number formed by reversing the digit is 18 less than the original number

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anubhabswain69

anubhabswain69 Ace

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sharmilafareedp30hcc

sharmilafareedp30hcc Ace

Let the two-digit number be 10x+y

given,the number is 7 times the sum of its digits

⇒10x+y=7(x+y)

10x+y=7x+7y

3x=6y

x=2y

the number formed by reversing the digits is 18 less than original number

⇒10x+y-(10y+x)=18

10x+y-10y-x=18

9x-9y=18

9(x-y)=18

(x-y)=18/9=2

⇒x-y=2

x=2y

⇒2y-y=2

y=2

x=4

∴the number is 42

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