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In a Pair of Fractions Fraction A is Twice the Fraction B and the Product of Two Fractions is 2/25. What is the Value of Fraction A?

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Explanation

  • In a pair of fractions fraction A is twice the fraction B.
  • Product of two fractions is 2/25.
  • The value of fraction A can be figure out in this way.

Let suppose two fractions are y and z.

Fraction y is twice than z.

y = 2z ________ (i)

Product of y and z is 2/25.

yz = 2/25 ________ (ii)

By solving both equations, we can easily determine y (y = 2/5) and z (z = 1/5) in order to figure out Fraction A (y = 2/5).

To Find

Value of Fraction A = ?

Solution

Let suppose

Two fractions are y and z.

According to the given conditions

y = 2z ________ (i)

yz = 2/25________ (ii)

Dividing equation (i) with (ii)

yz/y = 2/50z

z2 = 1/25

z = 1/5

Put z = 1/5 in equation (i)

y = 2/5

Fraction A = 2/5 answer

Conclusion

In a pair of fractions fraction A is twice the fraction B and the product of two fractions is 2/25. The value of fraction A is 2/5.

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