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Chapter 11: Q. 77 (page 774)

The ratio of a to b is23. The sum of a and b is 10. What is the ratio of a+b to b-a?

Short Answer

Expert verified

The ratio is 5.

Step by step solution

01

Step 1. Given information.

Consider the given question,

ab=23......(i)a+b=10......(ii)

Solve equation (ii) for a,

a=10-b

Substitute the value of a in equation (i),

10-bb=2330-3b=2bb=6

02

Step 2. Find the value of a.

Substitute the value of bin equation (ii),

a+6=10a=4

Then,

b-a=6-4b-a=2

Therefore, the required ration is given below,

a+bb-a=102a+bb-a=5

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