Question

What two numbers have a sum of 217 and a difference of 85

Answer 1

Answer: The two numbers are 151 and 66.

Step-by-step explanation:  We are to find the two numbers whose sum is 217 and difference is 85.

Let, 'x' and 'y' represents the two numbers, where x > y.

Then, according to the given information, we have

$x+y=217~~~~~~~~~~~~(i)\\\\x-y=85~~~~~~~~~~~~~(ii)$

Adding equations (i) and (ii), we get

$x+x=217+85\\\\\Rightarrow 2x=302\\\\\Rightarrow x=\dfrac{302}{2}\\\\\Rightarrow x=151,$

and from equation (i), we get

$y=217-x=217-151=66.$

Therefore, x = 151 and y = 66.

Thus, the two numbers are 151 and 66.

Answer 2

151 and 66
151+66=217
151-66=85