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In a two-digit number, the sum of digits is (11). The product of the digits is (30). What is the larger possible number?
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Answer and explanation
Correct answer: (65)
Let the digits be (x) and (11-x), then (x(11-x)=30), giving (x=5) or (x=6). The possible numbers are (56) and (65), so the larger one is (65).
Frequently asked questions
What is the correct answer to this question?
(65)
Why is this the correct answer?
Let the digits be (x) and (11-x), then (x(11-x)=30), giving (x=5) or (x=6). The possible numbers are (56) and (65), so the larger one is (65).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
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