A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, its digits are reversed. Find the number.

By Ritesh|Updated : November 13th, 2022

The number is 35. The numbers should be x and y.

According to the question, number=10x+y

Now, According to the question we can write as:

(10x+y) - 4(x+y)= 3.....(i)

According to the question we can write as:

(10x+y)+ 18=10y+x.....(ii)

Solving equation (i)

10x+y-4x-4y=3

or,6x-3y=3

In simplification we get the:

2x-y=1....(1)

Solving (ii)

10x+y-10y-x=-18

or, 9y-9x=18

In simplification we get the:

y-x=2...(2)

Now by adding equations we get:

(1)+(2)

2x-y+y-x=1+2

or,x=3

Thus, y=x+2 (from (2))

y=5

Therefore the number= 10x+y=10x3+5=35

Properties of Numbers

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers

  • a helpful collection of numbers
  • that reflects the number's algebraic and mathematical structure.
  • offers a common depiction.

Real numbers are simply where the qualities of numbers are stated. The following traits are common:

  1. Commutative Property
  2. Associative Property
  3. Distributive Property
  4. Closure Property
  5. Identity Property
  6. Additive Inverse
  7. Multiplicative Inverse
  8. Zero Product Property
  9. Reflexive Property

Summary:

A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, its digits are reversed. Find the number.

A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, its digits are reversed. The number is 35. The term Sum in Maths refers to the result obtained through the addition of numbers, objects, or things.

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