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The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number?
Most Upvoted Answer
The sum of the digits pf a two digit number is 4 more than the excess ...
Problem: Finding a two-digit number where the sum of the digits is 4 more than the excess of the units digit over the tens digit, and the product of the digits is 16.
Solution:
Let the tens digit be x, and the units digit be y.
From the question, we have:
- x + y = 4 + (y - x)
- xy = 16
Simplifying the first equation, we get:
- 2x - y = -4
Solving the system of equations, we can use substitution method.
- Rearrange the first equation to solve for x in terms of y:
- x = (4 + y - y + 2x) / 2
- x = 2 + x / 2
- x / 2 = 2
- x = 4
- Substitute x = 4 into the second equation:
- 4y = 16
- y = 4
Therefore, the two-digit number is 44.
Answer: The two-digit number is 44.
Solution:
Let the tens digit be x, and the units digit be y.
From the question, we have:
- x + y = 4 + (y - x)
- xy = 16
Simplifying the first equation, we get:
- 2x - y = -4
Solving the system of equations, we can use substitution method.
- Rearrange the first equation to solve for x in terms of y:
- x = (4 + y - y + 2x) / 2
- x = 2 + x / 2
- x / 2 = 2
- x = 4
- Substitute x = 4 into the second equation:
- 4y = 16
- y = 4
Therefore, the two-digit number is 44.
Answer: The two-digit number is 44.
Community Answer
The sum of the digits pf a two digit number is 4 more than the excess ...
ANS- 28.
Let two digits.D1, D2.
given.
D1+D2= (D2-D1)+4
D1=2
also,
D1*D2= 16.
putting D1 value we get
D2 equals 8
answer 28
Let two digits.D1, D2.
given.
D1+D2= (D2-D1)+4
D1=2
also,
D1*D2= 16.
putting D1 value we get
D2 equals 8
answer 28
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The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number?
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The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number?.
The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits pf a two digit number is 4 more than the excess of the units digit over the tens digit. If the product of the digits is 16,find the number?.
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