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The difference between two numbers is 14 and the difference between their squares is 448, thenfind the numbers. |
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Answer» Answer: 23 and 37 Step-by-step explanation: LET one no be X and the other be y x-y=14 (assuming x is greater) x^2 - y^2 = 448 we KNOW that x^2 - y^2= (x+y)(x-y) (x+y)(x-y)=448 14(x+y)= 448 ( as x-y=14) x+y= 448÷14 x+y= 32 adding x+y and x-y (x+y)-(x-y)= 32+14 2y=46 y=23 x-y=14 ie, x-23=14 x=37 |
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