Answer the questions
(a) There are two numbers such that sum of the numbers is 31 and their difference is 5. Find the sum of
their cubes
(9) Which is the smallest number that should be multiplied with 4000 to give a perfect cube?
(10) What is the value of 17 ?
Answers
Answered by
1
Answer:
(a) 8029
(b) 2
Step-by-step explanation:
(a)
let the larger no.be x
and smaller no. be y
A.T.Q.
x+y=31 .....(1)
x-y=5 .....(2)
On adding equation (1) and (2),we get
x+y+x-y=31+5
2x=36
x=18
On subtracting equation (2) from (1),we get
x+y-x+y=31-5
2y=26
y=13
x^3+y^3=18^3+13^3
=8029
(b)
4000=2×2×2×2×2×5×5×5
So, 2 must be multiplied to get a perfect cube
(c)
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