Question
The ratio between the sum of the digits of a two-digit
number and that two-digit number is 1 : 7. If the digit in the unit's place is four less than the digit in the ten’s place, then find the 56% of the number.Solution
ATQ, Let ten's digit and unit's digit be x and (x-4) respectively Sum of digits = x + (x-4) = 2x – 4 Let the number be 10x + (x-4) = 11x - 4 (2x – 4) / (11x – 4) = 1/7 14x – 28 = 11x – 4 3x = 24 x = 8 Number is 84 Required number = 84 * 56/100 = 47.04
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