Question

the HCF of the two number is 11 and their LCM is 616 if one of the number is 88 find the other​

Answer 1

Answer:

HCF * LCM = product of two numbers

let take number as x.

11*616=88*x

6776/88 = x

77=x

therefore, the other number is 77.

Answer 2

$\large\bf\underline{Given:-}$

• HCF of two numbers = 11
• LCM of two numbers = 616
• one number = 88

$\large\bf\underline {To \: find:-}$

• Other number.

$\huge\bf\underline{Solution:-}$

Let the two numbers be a and b.

As we know that,

$\small\bf \: sum \: of \: two \: numbers = product \: of \: their \: lcm \: and \: hcf$

$\bf(a \times b) = HCF(a,b) \times LCM(a,b)$

• a = 88
• HCF = 11
• LCM = 616

$:\implies\rm\:88 \times b = 11 \times 616 \\ \\ :\implies\rm\:88 \times b = 6776 \\ \\ :\implies\rm\:b = \frac{6776}{88} \\ \\ :\implies\bf\:b = 77$

Hence ,

The other number is 77.

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FORMULAS:-

LCM×HCF = product of two numbers.

HCF = product of two numbers/LCM

LCM = product of two numbers/HCF