When 1 is added to each of 2 numbers their ratio becomes 1:2 and when 5 is subtracted from each of them, their ratio is 5:11. the difference of the number is
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When 1 is added to each of 2 numbers their ratio becomes 1:2 and when 5 is subtracted from each of them, their ratio is 5:11. the difference of the number is
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let the two numbers be a and b
when 1 is added to both the numbers then the ratio becomes:-
a+1/b+1=1/2
⇒2a+2=b+1
⇒2a-b= -1 let this be equation (i)
now, when 5 is subtracted from both the numbers then the ratio becomes:-
a-5/b-5=5/11
⇒11a-55=5b-25
⇒11a-5b=30 let this be equation (ii)
now solving the equation (i) and (ii) to find out the value of a and b:-
we get a=35 and b=71
hence the two numbers are 35 and 71