Question

LCM of the given two number's is double the greater number. And the difference between smaller number and HCF is 4. therefore smaller number is ................​

Answer 1

$\huge\bf \underline \purple{Given:}$

Two numbers = x and y and x > y

LCM = 2x

HCF = y - 4

$\huge \bf \underline \red{To \: Find : }$

The smallest number

$\huge \bf\underline \pink{solution}$

LCM × HCF = Product of the numbers

LCM × HCF = x × y

2x × ( y -4 ) = xy

2xy - 8x - xy = 0

xy - 8x = 0

x ( y - 8) = 0

x = 0 and y = 8

Now, the value of x can not be zero, thus -

HCF = y - 4

= 8 - 4 = 4