Mathematics
06.04.2023 04:37
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The sum of two numbers is 100. The different between them is 56. What is the larger
The sum of two numbers is 100. The different between them is 56. What is the larger number?
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xsong39481
4,7(100 marks)
Answer:-
The larger number is 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-Sum of two numbers is 100.Difference between the numbers is 56.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-The larger number = ?⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-Let the two numbers be 'x' and 'y' respectively.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
According to the question:-
✯ Sum of two numbers is 100.
➪ ![\sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}](/tpl/images/2176/4687/fb2f4.png)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Also,
✯ Difference between the numbers is 56.
➪ ![\sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}](/tpl/images/2176/4687/78368.png)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Adding equation [1] and equation [2]:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Substituting the value of x in equation [1]:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, the numbers are 78 and 22.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
The larger number is 78.
RanaA5515
4,8(23 marks)
c
Step-by-step explanation:
I had this on my quiz too :)
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