Question

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

Answer 1

Gıven :

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

To Fınd :

• Find the two numbers.

Solutıon :

✰ Here in the question it is given That Product of two numbers Number is 1296. So, We will let the first Number be x and the other be 16x and Then we find the value of x and Put the value of x in the Numbers. Hence, we will get the required Numbers.

• Let One Number be x

• Other Number = 16x

Accordıng to Questıon :

➣ x × 16x = 1296

➣ 16x² = 1296

➣ x² = 1296/16

➣ x² = 81

➣ x = √81

➣ x = 9

• One Number = 9

• Other Number = 9*16 = 144

Verıfıcatıon :

➣ 9 × 144 = 1296

➣ 1296 = 1296

Hence, Proved

∴ The Required numbers are 9 and 144.

Answer 2

Answer :

• The numbers are 9 and 144

Given :

• The product of two numbers is 1296
• If one number is 16 times the other

To find :

• Two numbers

Solution :

• Let the number be x
• Other number be 16x

And also Given that,

• Product of two numbers is 1296

According To Question,

》x × 16x = 1296

》16x² = 1296

》x² = 1296/16

》x² = 81

》x = √81

》x = 9

• x = 9
• Other numbers = 16x = 16(9) = 144

Hence, The numbers are 9 and 144

Verification:

Given , the numbers are 9 and 144

》144 × 9

》1296

Hence Verified