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The sum of a two digit …

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The sum of a two digit number and the number of formed by interchaning its digit is 110 if 10 is subtract from first number the new number is 4 more than 5 times the sum of the digit in the first number . Find the first number

Posted by Pranjal Bhadana 5 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

(◍•ᴗ•◍)❤ . 5 years, 7 months ago

Let the unit digit be y & tens digit be x. Original number = (10x+y) After interchanging the digits New number = (10y+x) (10x+y) + (10y+x) = 110 11x +11y = 110 11(x+y)= 110 x+y = 110/11 x+y= 10…………...(1) x= 10-y……………(2) (10x+y) - 10 = 4+ 5(x+y) (10x+y) - 10 = 4+ 5(10) (10x+y) = 4+ 50+10 (10x+y) = 64 10(10-y) +y = 64 100-10y +y= 64 100 -9y = 64 -9y = 64-100 -9y = -36 y= 36/9= 4 y= 4 putting the value of y in eqn 2 x= 10-y x= 10-4 x= 6 Hence , the first number is 6 & second number is 4.

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