Question

Two numbers are in the ratio 2:5. If 16 is added to both the numbers, their ratio becomes 1:2. The numbers are:

(a) 28,70 (b) 32, 80 (c) 16, 40
(d) 20, 50...


Right answer will be marked as Brilliant :)
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Answer 1

right answer is b that is 32, 80

we will let 2:5 as 2x according to Ques add 16 to both no. so it will be 2x + 16 and 5x + 16

and after it , it's ratio become 1: 2 so we will divide it

2x+16/5x+16=1/2

now ,

cross multiply it

so, your value of X will come 16

as , 2(2x+16)= 1(5x+16)

4x+32=5x+16

32-16=5x-4x

16=X

now , fill the value

2x16=32

5x16=80