two numbers are in the ratio of 3:5 if 9 is subtracted from each the new numbers are in the ratio 12:23 the smaller number is?
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Answers
Answered by
237
Answer:
Smaller number = 33
Bigger number = 55
Step-by-step explanation:
Let the numbers in the ratio 3 : 5 be 3x and 5x
If 9 subtracted from each of them, the numbers becomes 3x - 9 and 5x - 9
When 9 subtracted from 3x and 5x, the ratio of the numbers becomes 12 : 23.
According to the question,
=
23(3x - 9) = 12(5x - 9)
69x - 207 = 60x - 108
69x - 60x = 207 - 108
9x = 99
x =
x = 11
1st number => 3x
=> 3 * 11
=> 33
2nd number => 5x
=> 5 * 11
=> 55
∴ The smaller number is 33 and the bigger number is 55 respectively.
Answered by
96
▶ Question - Two numbers are in the ratio of 3:5 if 9 is subtracted from each the new numbers are in the ratio 12:23 the smaller number is?
▶ Explanation :-
Given two numbers are in the ratio 3 : 5
Let the smaller number be 3x
Larger number be 5x
Given 9 is subtracted from each numbers the new numbers are in the ratio 12 : 23
According to the Question :-
=> 3x - 9 / 5x - 9 = 12 / 23
=> 23 ( 3x - 9 ) = 12 ( 5x - 9 )
=> 69x - 207 = 60x - 108
=> 69x - 60x = - 108 + 207
=> 9x = 99
=> x = 99 / 9
=> x = 11
∴ The smaller number = 3x
= 3 × 11
= 33
∴ The smaller number =33
∴ The Larger number = 5x
= 5 × 11
= 55
∴ The Larger number = 55
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