Question

if the difference of two numbers is 6 and their quotient 7 what are they

Answer 1

let x and y be two no

ATP

• x - y =6 ......(I)
• x÷y=7 ..(ii)
• x=7y

now'

• x - y = 6
• 7y- y = 6
• 6y=6
• y=1

and again

• x - y = 6
• x - 1 =6
• x= 7

ANSWER:

THE TWO NO. IS 1 AND 7.

Answer 2

Answer:

The numbers are 7 and 1

Step-by-step explanation:

Let,

The numbers = a and b

★ According to the Question :

• Difference of two numbers is 6 :

⇒ a - b = 6

• Their quotient is 7 :

⇒ $\dfrac{a}{b} = 7$

• Greater no. = a
• Smaller no. = b

⇒ a - b = 6

⇒ a / b = 7

⇒ a = 6 + b

⇒ $\dfrac{6 \: + \: b}{b} \: = 7 --- (substitute)$

⇒ 6 + b = 7b

⇒ 6b = 6

⇒ b = $\dfrac{6}{6} = 1$

⇒ b = 1

⇒ a - b = 6

⇒ a - 1 = 6

⇒ a = 6 + 1

⇒ a = 7

∴ The numbers are 7 and 1