Question

If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8and taking away 4from the product,the number is​

Answer 1

Answer:

4

Step-by-step explanation:

say number is 10X+Y

double = 20X+2Y

add 20

20X+2Y+20= 80X+8Y-4

60X+6Y= 24

10X+Y= 4

Answer 2

Answer:

The number is 4.

Step-by-step explanation:

The condition give in the question is,

Doubling a number and adding 20 to it gives the same answer as multiplying the number by 8 and subtracting 4 from it.

Consider the number as y.

(Number doubled) + 20 = (Eight times the number – 4)

★ 2y + 20 = 8y – 4

⇒ 2y + 20 = 8y – 4

⇒ 2y – 8y = –4 – 20

⇒ –6y = –24

⇒ 6y = 24

⇒ y = 24/6

⇒ y = 4

The number = 4

Therefore, the number is 4.

___________________

★ Verification:

LHS of the equation:

⇒ 2(4) + 20

⇒ 8 + 20

⇒ 28

RHS of the equation:

⇒ 8(4) – 4

⇒ 32 – 4

⇒ 28

28 = 28

LHS = RHS

Hence, the number is 4.