Question 901220: The sum of two numbers is 23. If the product of the two numbers must be greater than 76, what pairs of numbers satisfy the conditions if both numbers are integers?
Found 2 solutions by JulietG, josgarithmetic:
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! A + B = 23
A * B > 76
Let's look at possible pairs that satisfy the first equation, and then whether they satisfy the second.
{23,0} = 23*0=0
{22,1} = 22*1=22
{21,2} = 21*2=42
{20,3} = 20*3=60
{19,4} = 19*4=76 [don't let this trick you because it's GREATER THAN 76]
{18,5} = 18*5 =90
{17,6} = 17*6 = 102
{16,7} = 16*7 = 112
{15,8} = 15*8 = 120
{14,9} = 14*9 = 126
{13,10} = 13*10 = 130
{12,11} = 12*11 = 132
The pairs with numbers reversed also satisfy the equation. {11,12} rather than {12,11}
Answer by josgarithmetic(39617)  (Show Source):
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