Q.34 The jatio of three numbers is 2:3:4. Sum of theirQ,34 The atio of

1.	Q.34 The jatio of three numbers is 2:3:4. Sum of theirQ,34 The atio of threecubes is 33957 then the largest number is-(A) 28(C) 32(B) 21(D) 14
Answer» Let the numbers be 2x, 3x and 4xsum of cubes = 33957⇒(2x)³ + (3x)³ + (4x)³ = 33957⇒8x³ + 27x³ + 64x³ = 33957⇒99x³ = 33957⇒x³ = 33957/99 = 343⇒x =∛343 = 7 Numbers are:2x = 2×7 = 143x = 3×7 = 214x = 4×7 = 28

Q.34 The jatio of three numbers is 2:3:4. Sum of theirQ,34 The atio of threecubes is 33957 then the largest number is-(A) 28(C) 32(B) 21(D) 14

Answer»

Let the numbers be 2x, 3x and 4xsum of cubes = 33957⇒(2x)³ + (3x)³ + (4x)³ = 33957⇒8x³ + 27x³ + 64x³ = 33957⇒99x³ = 33957⇒x³ = 33957/99 = 343⇒x =∛343 = 7

Numbers are:2x = 2×7 = 143x = 3×7 = 214x = 4×7 = 28

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Q.34 The jatio of three numbers is 2:3:4. Sum of theirQ,34 The atio of threecubes is 33957 then the largest number is-(A) 28(C) 32(B) 21(D) 14

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