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a+b=69...... eqn 1
a-b=17......eqn 2
a=17+b.....eqn 3
substituting a value in eqn 1
17+2b=69
b=52/2
b=26
substituting b value in eqn 3
a=17+26
a= 43
a=43
b=26
thus, a=43, is the larger number.
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