Math, asked by Rohan2203, 6 hours ago

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?

Answers

Answered by eashu53
7

Step-by-step explanation:

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Answered by 2ritamjha2018
2

let the two number be a and b

so,

a  + b = 135 \\ hcf = 27 \\ so \: each \: one \: is \: divisible \: by \: 27 \\ 27x + 27y = 135 \\ 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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