2 numbers are in ratio 5:6 .if 4 is subtracted from each term their ratio becomes 3:4 find the numbers
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Answer:
Let the largest number be 6x and smaller number be 5x.
No according to problem, we have
6x−4
5x−4
=
3
2
⇒3(5x−4)=2(6x−4)
⇒15x−12=12x−8
⇒15x−12x=−8+12
⇒3x=4
⇒x=
3
4
Therefore, the greater number is 6x=6×
3
4
=8.
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