Two numbers the sum of 95

Question

The larger of two numbers is 9 more than the smaller. Their sum is 95. Find the numbers

Answer 1

Hey! Lets solve this problem shall we ?

Let the larger number be y and the smaller number be x such that y = x + 9 and let the smaller number be x. Let the sum of the two number be equal to 95 such that x + y = 95.

Lets substitute the y = x + 9 to obtain the x-value first !

Then,

x + (x+9) = 95

2x + 9 = 95...........Subtract 9

2x = 86 ................Divide 2

x = 43

Now we must solve for y ! So plug 43 in for x into y = x + 9 to find the larger number! So,

y = 43 + 9 = 52!

I hope this helped!