Question

.
The square of one number is 25. If the HCF and LCM of two numbers are 5 and 35
respectively, find the other number.​

Answer 1

Answer:

$\red{ \boxed{ \large{35}}}$

Step-by-step explanation:

$\green{ \mathfrak{ \large{Given}}}$

• The square of one number is 25.
• the HCF and LCM of two numbers are 5 and 35

$\mathfrak{ \underline{ \large{To \: find}}}$

• Find the other number.

$\pink{ \mathfrak{ \underbrace{ \large{Solution}}}}$

Let the first number be x

According to the question,

${x}^{2} = 25 \\ x = \sqrt{25} \\ x = 5$

Hence, the first number is 5

Now, Let the other number be y

As, HCF= 5 and LCF=35,

We know that,

HCF×LCF= N(1)×N(2)

➡ 5×35=5×y

➡ 5×35/5=y

➡ 35 = y

Hence, the other number is 35