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ioda
3 years ago
11

The ratio of two numbers is 2:3 and the sum of their cubes is 945,what are the two numbers. let the 1st no be=2x and 2nd=3x (2x)

^3 + (3x)^3=945
Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

<h3>         The first number is <u>6</u>,  the second number is <u>9</u></h3>

Step-by-step explanation:

a:b = 2:3

a = 2x    - first number

b = 3x   - second number

a³ + b³  =  945

(2x)^3 + (3x)^3=945\\\\8x^3 +27x^3=945\\\\35x^3 = 945\\\\x^3=945:35\\\\x^3=27\\\\ x^3=3^3\\\\x=3\\\\\\a=2\cdot3 = 6\\\\b=3\cdot3=9

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