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The ratio of two numbers is (2)/(3) . I...

The ratio of two numbers is `(2)/(3)` . If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.

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The correct Answer is:
8 and 12
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ICSE-SIMULTANEOUS EQUATIONS-EXERCISE 6 (E)
  1. The ratio of two numbers is (2)/(3) . If 2 is subtracted from the fir...

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  2. Two numbers are in the ratio 4 : 7 . If thrice the larger be added to ...

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  3. When the greater of the two numbers increased by 1 divides the sum of ...

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  4. The sum of two positive numbers x and y (x gt y) is 50 and the differ...

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  5. The sum of two numbers is 8 and the difference of their squares is 32....

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  6. The difference between two positive numbers x and y (x gt y) is 4 and...

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  7. Two numbers are in the ratio 4: 5. If 30 is subtracted from each of th...

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  8. If the numerator of a fraction is increased by 2 and denominator is de...

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  9. The sum of the numerator and the denominator of a fraction is equal to...

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  10. If the numerator of a fraction is multiplied by 2 and its denominator ...

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  11. A fraction becomes (1)/(2) if 5 is subtracted from its numerator and 3...

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  12. The sum of the digits of a two digit number is 5. If the digits are re...

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  13. The sum of the digits of a two digit number is 7. If the digits are re...

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  14. The ten's digitof a two digit number is three times the unit digit. Th...

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  15. A two-digit number is such that the ten's digit exceeds twice the unit...

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  16. Four times a certain two digit number is seven times the number obtain...

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  17. The sum of a two digit number and the number obtained by reversing the...

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  18. A two digit number is obtained by multiplying the sum of the digits by...

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