Question

HCF andLCM of two numbers is7 and 70 respectively.If one no. Is 35 then the other no. is what.

Answer 1

★ ${\underline{\underline{\large{\bold{\pink{Answer}}}}}}$

➟ 14

★Given :

• HCF of the two numbers is 7.
• LCM of the two numbers is 70.
• One number is given as 35.

★ To Find :

• The value of another number.

★ Solution :

Let the another number be x

Now, we know that,

HCF of the numbers × LCM of the numbers = products of the numbers

or,

$= > 7 \times 70 = 35 \times x \\ \\ = > x = \frac{7 \times 70}{35} \\ \\ = > x = 14$

$\therefore$ the another number is 14.

Answer 2

Given ,

The HCF and LCM of two numbers is 7 and 70 respectively and one number is 35

Let , the other number be " b "

We know that ,

$\boxed{ \sf{LCM(a,b) = \frac{a \times b}{HCF(a,b)}} }$

Thus ,

70 = (35 × b)/7

490 = 35 × b

b = 490/35

b = 14

∴The other number is 14