The cube of number is 8times the cube of another number. If the sum of the cubes of numbers is 243, what is the difference of numbers?
Answers
Answered by
81
Let the numbers be x & y
so by the condition given in your question we get equations
x^3=8y^2
x^3+y^3=243
8y^3+y^3=243
9y^3=243
y^3=243/9
y^3=27
y=3.
so by the condition given in your question we get equations
x^3=8y^2
x^3+y^3=243
8y^3+y^3=243
9y^3=243
y^3=243/9
y^3=27
y=3.
Answered by
32
Answer:
Step-by-step explanation:
(X)3=8(y)3
(X)3+(y)3=243
(X)3=8(y)3
So we can also write x3 as 8times y3
8(y)3+(y)3=243
9y3=243
Y3=243÷9
Y3=27
Y=3
The numbers are
Y3=3^3=27
8y3=8×27=216
Difference of the numbers are 216-27=189
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