Question

If the compound ratio of 5:8 and 3:7 is 45:x .find x​










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Answer 1

50 is the correct answer

Answer 2

Answer:

Given:

5:8 and 3:7 = 45:X

To find:

The value of 'x' = ?

Calculation:

To find the compound ratio of the given fractions:

$\frac{5}{8}\times \frac{3}{7}  = \frac{15}{56}$

5:8 and 3: 7 = $\frac{15}{56}$

∴$\frac{15}{56} = \frac{45}{X}$

When these fractions are cross multiplied, it gives

15 × x = 45 × 56

x = $\frac{45\times 56}{15}$

x = $\frac{2520}{15}$

x = 168

Conclusion:

Thus the value of x is found to be 168.