5. Express (i) 152 and (ii) 192 as the sum of two consecutive positive integers.
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i) Let us consider the consecutive positive integers be x,x+1.
According to the problem,
x+(x+1)=15
2
or, 2x+1=225
or, 2x=224
or, x=112.
The required integers are 112,113.
ii) Let us consider the consecutive positive integers be x,x+1
according to question
x+x+1=361
2x=361-1+360
x=360/2=180
consecutive integers =180,181
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