One number is 38 less than another number. If the sum of the two numbers is 108, find the two numbers.

The two numbers are 35 and 73.

Step-by-step explanation:

We can solve this problem by creating two simultaneous equations using the information given.

Let number 1 = x

Let number 2 = y

x = y - 38 -> ( 1 )

x + y = 108 -> ( 2 )

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

Substitute ( 1 ) into ( 2 ):

x + y = 108 -> ( 2 )

( y - 38 ) + y = 108

2y - 38 = 108

2y = 146

y = 146 / 2

y = 73 -> ( 3 )

Substitute ( 3 ) into ( 1 ):

x = y - 38 -> ( 1 )

x = ( 73 ) - 38

x = 35

Therefore:

x = 35 , y = 73

the answer is 15% decrease

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,