Question

the product of two numbers is 1694 if one number is 14 times the other number find the numbers

Answer 1

Product of two numbers=1694

Let one number be x

Other number=14x

According to the problem,

14x*x=1694

=>14x^2=1694

=>x^2=1694/14

=>x^2=121

=>x=√121

=>x=11

One number=11

Other number=11*14=154

Answer 2

Gɪᴠᴇɴ :-

• Product of two numbers = 1694
• First number = 14 × second number

ᴛᴏ ғɪɴᴅ :-

• First Number
• Second Number

sᴏʟᴜᴛɪᴏɴ :-

Let the first number be x and second number be y

then,

➢ According to Question :-

• First number = 14 × (Second Number)

➭ x = 14 × (y)

➭ x = 14y. --(1)

• Product of two numbers = 1694

➭ x × y = 1694

➭ (14y) × y = 1694. --(from-1)

➭ 14y² = 1694

➭ y² = 1694/14

➭ y² = 121

➭ y = √121

➭ y = 11

Put y = 11 in (1) , we get,

➭ x = 14y

➭ x = 14 × 11

➭ x = 154

Hence,

• First number = x = 154
• Second Number = y = 11