Question

2. If the compound ratio of 7:3 and 4:5 is 56:x,find the value of x.​

Answer 1

Answer:

• The value of x is 30.

Step-by-step explanation:

Given:

• Compound ratio of 7:3 and 4: 5 is 56:x.

To Find:

• The value of x.

Solution:

we have,

compound ratio of 7:3 and 4:5 = 56: x

Now, cross multiplying the numbers

7 × 4 : 3 × 5 = 56:x

28 : 15 = 56 : x

As we know that

Product of extremes = product of means

$\: \sf \implies28 \times x = 15 \times 56 \\ \\ \: \sf \: x = \frac{15 \times \cancel5 \cancel6}{ \cancel2 \cancel8} \\ \\ \: \sf \: x = 15 \times 2 \\ \\ \: \sf \therefore x = 30$

Hence, the value of x is 30.

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