Three numbers are in the ratio 2:3:4. The sum of their cubes is 33957. Find the smallest number
Answers
Step-by-step explanation:
Let the numbers be 2n,3n,4n.
Sum of their cubes is 33957
(2n)³+(3n)³+(4n)³=33957
8n³+27n³+64n³=33957
99n³=33957
n³=33957/99
n³=343
Smallest number is (2n)³ or 8n³.
8n³=8×343=2744
Smallest number is 2744.
The 3 numbers are : 0.3,0.45,0.6
⇛The question says there are three numbers but with a specific ration what that means in that once we pick one of the numbers the other two are know to us through the rations we can therefore replace all 3 of the numbers with a single variable:
2: 3: 4 ⇛ 2x × 3x × 4x
⇒now, no Matter what we chose for c we get the three numbers into the ratios specified we are also told the sum of the cubes of these three numbers which can write :
⇛Disturbing the powers across the fact is using
⇛So the 3 numbers are