Question

If I give Rs 10 to my friend then he will have Rs 20 more than me. If he gives me Rs 10 then I will have Rs5 more than him. form equation​

Answer 1

Answer:

Step-by-step explanation:

Let the capitals be ‘a’ and ‘b’.

Given, one says, “give me hundred, friend! I shall then become twice as rich as you” .

Lets assume "b" gives hundred to "a".According to given condition

a+100=2(b–100)⇒a+100=2b–200

a=2b−200–100

a=2b–300

a−2b=−300------ (1)

Now The other replies, “If you give me ten, I shall be six times as rich as you.”

Which means "a" gives 10 to "b".

So,

b+10=6(a–10)⇒b+10=6a–60⇒b=6a–60–10

b=6a–70

6a−b=70   ----- (2)

Multiplying eq1 by 6 and subtract from eq2

6a−b−6(a−2b)=70−6(−300)

6a−b−6a+12b=70+1800

11b=1870

b=170

substitute the value of b in eq 1 to get,  

a−2(170)=−300

a−340=−300

a=−300+340

a=40

The amount of their respective capital is Rs 40 and Rs 170