If the sum of the digits of a two digit number is 9 and the difference

1.	If the sum of the digits of a two digit number is 9 and the difference between the number and that formed by reversing the digits is 45 then number is (1) 81 (2) 72 (3) 45 (4) 54
Answer» (2) 72 x + y = 9 (10x + y) - (10 y + x) = 45 9(x - y) = 45 x - y = 5 ∴ x = 7 , y = 2 ∴ 72 is the number

If the sum of the digits of a two digit number is 9 and the difference between the number and that formed by reversing the digits is 45 then number is (1) 81 (2) 72 (3) 45 (4) 54

Answer»

(2) 72

x + y = 9

(10x + y) - (10 y + x) = 45

9(x - y) = 45

x - y = 5

∴ x = 7 , y = 2

∴ 72 is the number

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If the sum of the digits of a two digit number is 9 and the difference between the number and that formed by reversing the digits is 45 then number is (1) 81 (2) 72 (3) 45 (4) 54

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