what number must be subtracted from each Tom of the ratio 15 : 33 e so that the ratio becomes 2 : 5
Answers
QUESTION:
what number must be subtracted from each Tom of the ratio 15 : 33 e so that the ratio becomes 2 : 5????
ANSWER:
Let the rational between the term of ratio be x.
Thus the numbers are 15x and 33x
Let the number n to be subtracted from both the number of ratio.
After subtracting n the numbers will be 15x - n and 33x - n and their ratio 2 : Accordingly
15x - n / 33x - n = 2/5
Cross multiplication
15 (17x - n) = 7 ( 33x - n)
255x - 15n = 231x - 7n
255x - 231x = 15n - 7n
24x = 8n
n= 24x/8
n = 3x
Thus 3x to be subtracted from each number.
Answer the value 3x to be subtracted from each number, in which x can be any integer.
On subtracting 3x the number will be 17x - 3x = 14x and 33x - 3x = 30x
Their ratio 14x/30x = 14/30 or 7/15
It means answer is correct
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Answer:
upper answer is correct..