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!

me

step-by-step explanation: