Question

Divide 60 cm in the ratio 2:3
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Answer 1

Answer:

12

step-by-step explanation:

It is given that the number is 60. It needs to be divided into two numbers with a ratio 2:3. Let the two numbers be A and B . So A+B=60,A:B=2:3 Then for some positive integers x the numbers respectively can be expressed as 2x,3x . Then the total 60 can be expressed as a sum of 2x,3x . Now,

A+B=602x+3x=60⇒5x=60

Solving the above equation for the unknown x we get x=605=12

Then the two numbers are A=2x=2×12=24 and B=3x=3×12=36 . Then their difference is B−A=36−24=12 .

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