The required larger number is 20.
In mathematics, it deals with numbers of operations according to the statements.
The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.
Let the two numbers are x and y,
x > y
Condition 1
The sum of two numbers is 15,
x + y = 15 - - - - - - (1)
Condition 2
Four times the smaller number is 60 less than twice the larger number.
4y = 2x - 60 - - - - - (2)
From equation 1
x = 15 - y
put this x in equation 2
4y = 2(15 - y) - 60
4y = 30 - 2y - 60
6y = - 30
y = -5
Now put above y in equation 1
x - 5 = 15
x = 20
Thus, the required larger number is 20.
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