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.
➪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Also,
✯ Difference between the numbers is 56.
➪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• 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.
c
Step-by-step explanation:
I had this on my quiz too :)