the ratio of their ages of two brothers is 1:2 and 5 years back the ratio was 1: 3 what will be the ratio of their ages after 5 years
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Let the ages be x and 2x respectively.
So, before 5 years it was:
x-5/2x-5 = 1/3
3 (x-5) = 1 (2x-5)
Now , present age = 3(x-5)+5 and 1(2x-5)+5
again , after 5 years it will be:
3(x-5)+5+5 = 1(2x-5)+5+5
3x-15+10 = 2x- 5 +10
3x-2x+10-10 = 15-5
x = 10
And, 2x = 2×10 = 20 . Their present age are 10 and 20 years.
Then, after 5 years the age of 2 brothers it will be:
10+5 = 15 years and 20+5= 25 years.
Hence, the ratio of their ages is : 15/25 = 3/5
Hope you understood!
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