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To divide 60 in the ratio of 2 : 3, we need to find two parts such that their ratio is 2 : 3.
Let the parts be 2x and 3x, where x is the common factor.
According to the given ratio: 2x+3x=602x+3x=60
Combine like terms: 5x=605x=60
Now, solve for x: x=605x=560 x=12x=12
Now, we can find the values of the parts: Part 1=2x=2×12=24Part 1=2x=2×12=24 Part 2=3x=3×12=36Part 2=3x=3×12=36
So, the parts in the ratio of 2 : 3 are 24 and 36, respectively.
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