There are two 2-digit numbers that satisfy the following conditions: (1) each number has the same digits; (2) the sum of the digits in each number is 10; (3) the difference between the two numbers is 54. What are the two numbers?
There are two 2-digit numbers that satisfy the following conditions: (1) each number has the same digits; (2) the sum of the digits in each number is 10; (3) the difference between the two numbers is 54. What are the two numbers?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Section: Chapter Questions
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There are two 2-digit numbers that satisfy the following conditions:
(1) each number has the same digits;
Sol
(2) the sum of the digits in each number is 10;
Guidedi
(3) the difference between the two numbers
54.
What are the two numbers?
a. The numbers 58 and 85 are 2–digit numbers that have the same digits, and the sum of the digits in
each number is 13. Find two 2-digit numbers such that the sum of the digits is 10 and both numbers
have the same digits. 46 and 64
b. Since there are only 9 two-digit numbers whose digits have a sum of 10, the problem can be easily
solved by guessing. What is the difference of your two 2–digit numbers from part a? 72
c. Continue to guess and check. Which pair of numbers has a difference of 54?
and
d. This problem can be extended by changing the requirement that the sum of the two digits equals
10. Solve the problem for the case in which the digits have a sum of 12 and a difference of 54.
and
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There are two 2-digit numbers that satisfy the following conditions:
(1) each number has the same digits;
Sol
(2) the sum of the digits in each number is 10;
Guidedi
(3) the difference between the two numbers
54.
What are the two numbers?
a. The numbers 58 and 85 are 2–digit numbers that have the same digits, and the sum of the digits in
each number is 13. Find two 2-digit numbers such that the sum of the digits is 10 and both numbers
have the same digits. 46 and 64
b. Since there are only 9 two-digit numbers whose digits have a sum of 10, the problem can be easily
solved by guessing. What is the difference of your two 2–digit numbers from part a? 72
c. Continue to guess and check. Which pair of numbers has a difference of 54?
and
d. This problem can be extended by changing the requirement that the sum of the two digits equals
10. Solve the problem for the case in which the digits have a sum of 12 and a difference of 54.
and
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5 of 18
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