Test Index

Ratio and Proportion

Question : 73 of 112

Marks: +1, -0

27:43

7:15

Solution:

Concept:

Subtract the same unknown number from each term of the given ratio to form a new ratio equal to the target ratio.

Explanation:

Let the number to be subtracted be

x

The new ratio becomes

\frac{27-x}{43-x} = \frac{7}{15}

Cross-multiply:

15(27 - x) = 7(43 - x)

Expand:

405 - 15x = 301 - 7x

Bring like terms together:

405 - 301 = 15x - 7x

Simplify:

104 = 8x

Divide both sides by

8

x = 13

Thus, 13 must be subtracted from each term.

Answer:

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