Three numbers are in the ratio 2:3:4 and their product is 1536. Largest of these numbers is
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Hey mate!
Here is your answer > >
Given ratio=2:3:4
Let the numbers be 2x,3x and 4x
Product of 3 numbers = 1536
2x×3x×4x=1536
24x^3=1536
x^3=1536/24
x^3=64
x=4
Numbers=2x=2×4=8
3x=3×4=12
4x=4×4=16
Largest of these numbers=16
Hope it helps!
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solution :
Given ratio of three numbers = 2 : 3 : 4
Let first number = 2x ,
second number = 3x ,
third number = 4x ,
product of three numbers = 1536 ( given )
⇒ 2x × 3x × 4x = 1536
⇒ 24x³ = 1536
⇒ x³ = 1536/( 24 )
⇒ x³ = 64
⇒ x³ = 4³
∴ x = 4
....
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