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A number is divided into two parts such that one part is 10 more than the other. If the two
parts are in the ratio 5:3, find the number and the two parts.
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Answer:
The number is 40, the 2 parts are 25 & 15
Step-by-step explanation:
let the number a be the given number which is of 2 parts in the ratio 5 : 3
=> total 8 parts
let m be the proportianality const.
=> the parts are 5m and 3m which are assumed to be x & y respectively.
given that
x = 10 + y
ie., 5x = 10 + 3m
=> 5x - 3m = 10
=> 2m = 10
=> m = 5
=> the 2 parts are 5m = 5(5) = 25
& 3m = 2(5) = 15
so, the original number = 8parts
= 8*5
= 40
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