Question

The ages of A and B are in the ratio a:b . After 17years the ages of A and B will be in the ratio a:b. Then the value of a – b :a+b is

Answer 1

Answer:

0

Step-by-step explanation:

Let the present ages be A and B

A/B= a/b

also after 17 years the ratio of ages is a:b

So

(A+17)/(B+17)= a/b

this means

(A+17)/(B+17)= A/B

or

B*(A+17)= A* (B+17)

BA +17B= AB+ 17A

Cancelling BA and AB we get

17B=17A

or

A=B

therefore

A/B= A/A=1/1

a:b = 1:1

a-b =1-1=0

So (a-b):(a+b)=0:(a+b)=0

The answer is 0

Answer 2

Step-by-step explanation:

ratio of present ages=a:b

let present age of A is a, and B is b

after 17years

age of A is a+17,age of B is b+17

given,

a+17/b+17=a/b

ab+b17=ab+a17=>a=b

a-b:a+b=0/a+a=>0/2a=>0

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