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anyanavicka [17]
3 years ago
9

One number is 28 less than another number. If the sum of the two numbers is 92, find the two numbers.

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

The two numbers are <em>32</em> and <em>60</em>.

Step-by-step explanation:

We can create two simultaneous equations to solve this problem using the information given in the question.

Let number 1 = x

Let number 1 = y

x = y - 28 -> ( 1 )

x + y = 92 -> ( 2 )

We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier option.

Substitute ( 1 ) into ( 2 ):

x + y = 92 -> ( 2 )

( y - 28 ) + y = 92

2y - 28 = 92

2y = 120

y = 120 / 2

y = 60 -> ( 3 )

Substitute ( 3 ) into ( 1 ):

x = y - 28 -> ( 1 )

x = ( 60 ) - 28

x = 32

Therefore:

x = 32 , y = 60

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The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

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