the sum of the digit of a two digit number is 3. if the digits are reversed,the new number is nine less than the number. what is the number
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Answer:
Step-by-step explanation:
let the two digits of the number be x and y
x+y=3⇒x=3-y(equation 1)
so original number can be written as 10x+y(as u know,for example,if 34 is the number,we get it as 10×3+4 right,the same applied here)
so the reversed number will be 10y+x
so it is said that 10x+y-9=10y+x⇒ 9x-9y=9⇒ x-y=1(equation 2)
substituting equation 1 in equation 2
3-y-y=1⇒2y=2⇒ y=1
so x=3-y=3-1=2
so,the original number is 10x+y=10×2+1=21
hope this helps,pls follow
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Answered by
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If the sum of the digits of a 2-digit number is 3, the number is either 21 or 12. In this case, the number is 21. Reversed = 12. 12 is 9 less than 21
I hope this helps you
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