Question

the compound ratio of3:4 and the inverse ratio of 4:5 is 45:x. find x​

Answer 1

Answer:

Value of x is 48

Step-by-step explanation:

Inverse ratio of 4 : 5 $= 5 : 4$

Now, compound ratio of 3 : 4 and 5 : 4 is calculated as

$\frac{3}{4} \times \frac{5}{4} = \frac{45}{x}\\\\ \frac{(\,3 \times 5)\,}{(\,4 \times 4)\,}=\frac{45}{x}\\\\ \frac{15}{16} = \frac{45}{x}\\\\15x = 45 \times 16\\\\x = \frac{45 \times 16}{15}\\\\x = 3 \times 16\\\\x = 48$