Asked by picklepeter
The difference of two positive integers was multiplied by their sum. If possible, find two numbers such that the result is equal to 212.
Answers
Answered by
PsyDAG
Result from addition or multiplication?
Answered by
Reiny
let x be the larger and y be the smaller
(x-y)(x+y) = 212
212 = 2*106
= 4*53
there are no other factors, since 53 is prime
212 = 2* 106 , so the two numbers are 2 apart and have a sum of 106
dividing 106/2 = 53
so how about 54 and 52
<b>x = 54 , y = 52</b> and
(x-y)(x+y)
= 2(106) = 212
yup that works.
(x-y)(x+y) = 212
212 = 2*106
= 4*53
there are no other factors, since 53 is prime
212 = 2* 106 , so the two numbers are 2 apart and have a sum of 106
dividing 106/2 = 53
so how about 54 and 52
<b>x = 54 , y = 52</b> and
(x-y)(x+y)
= 2(106) = 212
yup that works.