two numbers are such that the ratio between them is 3:5 if each is increased by 10 the ratio between the new numbers so formed is 5:7. find the original numbers.
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Answered by
3
Given:
Two numbers are in the ratio between them is 3 ratio 5 if each is increased by 10 the ratio between the new number so formed is 5 ratio 7
Find:
The original number
Solution:
Let the number be 3x
Let the number be 5x
Each number is increased by 10, the ratio between the new number so formed is 5 : 7.
=> 3x + 10 / 5x + 10 = 5/7
=> 7(3x + 10) = 5(5x + 10)
=> 21x + 70 = 25x + 50
=> 21x - 25x = 50 - 70
=> -4x = -20
=> x = -20/-4
=> x = 5
So,
first number = 3x
=> 3 × 5
=> 15
Second number = 5x
=> 5 × 5
=> 25
Hence, the original number of x is 15 and y is 25.
I hope it will help you.
Regards.
Answered by
0
Answer:
=> 3x + 10 / 5x + 10 = 5/7
=> 7(3x + 10) = 5(5x + 10)
=> 21x + 70 = 25x + 50
=> 21x - 25x = 50 - 70
=> -4x = -20
=> x = -20/-4
=> x = 5
Step-by-step explanation:
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