SOLUTION: the larger of two number is twice the sum of the smaller and eleven.if their difference is 35,what is the smaller number

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Question 939847: the larger of two number is twice the sum of the smaller and eleven.if their difference is 35,what is the smaller number
Answer by dkppathak(439) About Me  (Show Source):
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the larger of two number is twice the sum of the smaller and eleven.if their difference is 35,what is the smaller number
let larger number is b and smaller is a
b=2a +11
b-2a=11 (1)
b-a=35 (2) by subtraction eqn(2) from (1)
-a=-24 than a=24 by substitution a=24 in eqn(2)
b-a=35
b-24=35
b=35+24 = 59
smaller number is 24 and larger number is 59