Question

The product of two numbers is 1296. If one number is 16 times the other,find the numbers​

Answer 1

Answer:

9 and 144

Step-by-step explanation:

  Let the smaller number be a, then the other number should be 16a{ as it's 16 times of a }

 As product of  a and 16a is 1296 :

    ⇒ a * 16a = 1296

    ⇒ 16a² = 1296

    ⇒ a² = 1296/16

    ⇒ a² = 81

    ⇒ a = √81

    ⇒ a = 9

Hence the required numbers are a = 9 and 16a = 16*9 = 144

Answer 2

$\rule{300}2$

$\huge\bold{\mathtt{QUESTION}}$

➡ The product of two numbers is 1296 . If one number is 16 times the other , find the numbers .

$\rule{300}2$

☯ Let the number be m . Then the other number will be 16m ( it is given , one no. is 16 times the other ) .

▶ Now , According To The Question -

$\sf \:\:\:\:\:\:\:\:\:\:\:↪\:m \times 16m \:=\: 1296$

$\sf \:\:\:\:\:\:\:\:\:\:\:↪\:16 {m}^{2} \:=\: 1296$

$\sf \:\:\:\:\:\:\:\:\:\:\:↪\:{m}^{2} \:=\: \dfrac{1296}{16}$

$\sf \:\:\:\:\:\:\:\:\:\:\:↪\:{m}^{2}\:=\: 81$

$\sf \:\:\:\:\:\:\:\:\:\:\:↪\:m\:=\: \sqrt 81$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:{\boxed{m\:=\:9}}$

✳ One number is 9

✳ Other number = 16m = 16 ( 9 ) = 144

$\rule{300}2$