a number is divided into two parts such that one part is 10 more than the other. lf the two parts are in the ratio 5:3,find the number and the two parts.
Answers
Ratio of number 1 : number 2 = 5 : 3
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STEP 1 :Define x:
Let x be the constant ratio.
Ratio of number 1 : number 2 = 5x : 3x
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STEP 2: Form the equation:
Given that their difference is 10
5x - 3x = 10
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Solve x:
2x = 10
x = 5
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STEP 3: Find the two numbers:
5x = 5(5) = 25
3x = 3(5) = 15
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Answer: The numbers are 25 and 15.
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a =x
b= 10x
x=10×
2x=10
x=10/2= 5
25:15
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