Question

the product of two numbers is 1296 if on number is 16 times the other then the no.s are ??​

Answer 1

Solution:

Given:

• The product of two numbers is 1296.
• One number is 16 times the other.

To Find:

• The numbers.

Let the first number be x.

Second number is 16 times the first number.

→ Second number = 16x

According to question,

→ Product of numbers = 1296

→ 16x × x = 1296

→ 16x² = 1296

→ x² = 1296/16

→ x² = 81

→ x = √81

→ x = ±9

So,

→ 16x = 16 × ±9 = ±144

Ф So, the numbers are either (9, 144) or (-9, -144)

Answer:

• The numbers are (9, 144) or (-9, -144).

•••♪

Answer 2

ANSWER:

Given:

• Product of 2 numbers = 1296
• One number is 16 times the other number

To Find:

• The numbers

Solution:

Let one number be a.

So, other number is 16a.

We are given that,

⇒ a × 16a = 1296

⇒ 16a² = 1296

Transposing 16 to RHS,

⇒ a² = 1296/16

⇒ a² = 81

Taking square root on both sides,

⇒ √(a²) = √(81)

⇒ a = ±9

So, other number is,

⇒ 16a = ±(16×9)

⇒ 16a = ±144

Hence, the numbers are (9, 144) or (-9, -144)