The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

So we form two equations:

x + y = 75(i)

and x - y =  35

so, x = y+35 (ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

Hey there!

Let x be the other number :)

(x + 35).

(x + 35) + x =75

2x + 35 =75

2x = 75 - 35

2x =  40

x = 20

Solve 75-20. (55)

20 and 55 are the numbers you are looking for.

Hope this helps!

Have a wonderful day!

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,