Two numbers are in ratio 4:5. If difference of their cube is 61. Find the numbers.
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Answer:
let 4 = 4x and 5 =5x
difference of their cubes = 61
their cubes are 64 X and 125x respectively
and given that 125x - 64x =61x
61 X= 61
therefore X =61/61
now put value of X as I so 4x= 4, 5x=5
Question:
Two numbers are in ratio 4:5. If difference of their cube is 61. Find the numbers.
Answer:
The numbers are : 4 and 5.
Given :
➛Two numbers are in ratio 4:5.
➛difference of their cube is 61.
To Find :
The two numbers .
Solution:
We are given,
➛Two numbers are in ratio 4:5.
Let the two numbers be 4m and 5m.
Now, According to condition.
▪ difference of their cube is 61.
➞ ( 5m )³ - ( 4m )³ = 61
➞125m³ - 64m³ = 61
➞ 61m³ = 61
➞ m³ = 1
➞ m = 1
Therefore, The two numbers are 4 and 5.