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26. A two digit numbers is four times the sum & three times the product of its digits findthe numbers |
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Answer» Answer: The number is 24. Step-by-step EXPLANATION: Let the unit place digit be x, and tens place digit be y. Thus, the number = 10y + x. A/Q, 10y + x = 4 (x + y) => 10y + x = 4x + 4y => 4x - x = 10y - 4y => 3x = 6y => x = 2y ... (i) Also, 10y + x = 3xy => 10y + 2y = 3 X 2y X y => 12y = 6 => y = 2 Substituting the value of y in EQUATION (i), x = 2y => x = 2 X 2 => x = 4 Therefore, the number = 10y + x = 10 X 2 + 4 = 24. |
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