A two digit number contains the largest digit at ten's place. The product of the digits is 27 and the difference between two digits is 6. Find the number.
Quadratic Equations
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Question

A two digit number contains the largest digit at ten's place. The product of the digits is 27 and the difference between two digits is 6. Find the number.

KnowledgeBoat · Accepted Answer

Let the unit's digit be x, so, ten's digit be = x + 6. Number = 10(x + 6) + x = 10x + 60 + x = 11x + 60 Given, product of digits is 27 When x = -9, Number = 11x + 60 = 11(-9) + 60 = -99 + 60 = -39 In this case the ten's digit is smaller than unit's digit hence x ≠ -9 When x = 3, Number = 11(x) + 60 = 11(3) + 60 = 33 + 60 = 93 Hence, the required number is 93 .

Mathematics

A two digit number contains the largest digit at ten's place. The product of the digits is 27 and the difference between two digits is 6. Find the number.

Quadratic Equations

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Mathematics

A two digit number contains the largest digit at ten's place. The product of the digits is 27 and the difference between two digits is 6. Find the number.

Quadratic Equations

Related Questions

A two digit positive number is such that the product of its digit is 6. If 9 is added to the number , the digits interchange their place . Find the number.

A rectangle of area 105 cm2 has its length equal to x cm. Write down its breadth in terms of x. Given that the perimeter is 44 cm, write down an equation in x and solve it to determine the dimensions of rectangle.

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