Question

x number should be subtracted from each of the number 21,22,60 and 64 so that remainders may be in proportion?

Answer 1

Answer:

8

Step-by-step explanation:

Given  

x number should be subtracted from each of the number 21,22,60 and 64 so that remainders may be in proportion?

Let the required number be x. So according to question we have

21 – x / 22-x = 60 – x / 22 – x

(21 – x)(64 – x) = (60 – x)(22 – x)

1344 – 64 x – 21 x + x^2 = 1320 – 22 x – 60 x + x^2

1344 – 1320 – 64 x + 22 x – 21 x + 60 x

1344 – 1320 + 82 x – 85 x

24 = 3 x

x = 24/3  

So x = 8

Now required number is 8