Consider that two number whose sum is 135 and their HCF is 27 if their LCM is 162 then what will be the larger number?
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let the two number be a and b
so,
the possible value for x and y are (1,4),(2,3)
HCF means that the both number are divisible by 27 so we have written a as 27x and b as 27y hair the value of x and y are written but we need to find the value of a and b
by putting the value of x and y as 1,4
a=27x=1×27=27
b=27x=4×27=108
lcm =108
not possible because the lcm of a and b is 162
X and y as 2 and 3
a=27x=27×2=54
b=27x=27×3=108
lcm= 162
the value of x and y are 2 and 3 and the value of a and b are 54 and 108
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