A two digit number is 4 times the sum


Asked by admin @ in Math viewed by 125 People


A two digit number is 4 times the sum of its digits and twice the product of its digits.Find the number.

Answered by admin @


Sol: let the digits be x and y
let x is in the tens place then
it sill become 10x let y is in once place the it will become
1y
the original number be 10x+y
from the question
10x+y=4(x+y)
10x+y=4x+4y
10x-4x+y-4y=0
6x-3y=0
2x-y=0
2x=y. eq-1
again according to question
10x+y=2(xy)
substitute y=2x
10x+2x=2x(2x)
12x/2x=2x
6=2x
x=3
if x=3 then y=?
2x=y
y=6
the number is 36



Do you know the better answer?

Similar Questions

The sum of two digit number is 9

Asked by admin @ in Math viewed by 131 persons

The sum of digits of a two-digit number is 9.Also,nine times this number is twice the number obtained by reversing the order of the digits.Find the number.

A 4 digit number uses only two different digits

Asked by maham237 @ in Mathematics viewed by 99 persons

A 3-digit number uses only two different digits.

How many two digit numbers are divisible by 4

Asked by admin @ in Math viewed by 97 persons

How many two digits number are divisible by 4

Lcm of two numbers is 14 times their hcf

Asked by admin @ in Math viewed by 130 persons

The lcm of two numbers is 14 times their hcf. the sum of lcm and hcf is 600. if one number is 280,then find other number

Lcm of two numbers is 45 times their hcf

Asked by admin @ in Math viewed by 138 persons

LCM of two numbers is 45 times their HCF if one of the numbers is 125 and sum of their HCF and LCM is 1150 find the other number

Write two mixed numbers that have the sum of 3

Asked by maham237 @ in Mathematics viewed by 111 persons

What is the sum of any two even numbers

Asked by admin @ in Math viewed by 128 persons

What is the sum of any two even numbers and odd numbers​

The sum of two irrational numbers is always

Asked by admin @ in Math viewed by 105 persons

Is the sum of two irrational numbers always irrational? justify your answer.

The sum of two irrational number is always

Asked by admin @ in Math viewed by 90 persons

Is the sum of two irrational numbers always irrational? justify your answer.

The sum of two numbers is 1000

Asked by admin @ in Math viewed by 105 persons

The sum of two numbers is 1000 and the difference between their squares is 25600 then find the numbers

Find two consecutive natural numbers whose sum is 75

Asked by admin @ in Math viewed by 123 persons

Find two consecutive natural number whose sum is 75 in step by step explanation

Find two consecutive natural numbers whose sum is 63

Asked by admin @ in Math viewed by 116 persons

Find two consecutive natural number whose sum is 63

The sum of 5 times a number x and 17

Asked by maham237 @ in Mathematics viewed by 114 persons

1. Write and algebraic expression to represent "the sum of 5 times a number and 17" a. 5 x +17 b.5 x -17 c.5 (x + 17) d. 5+17x 2. …

A two digit number is such that the product

Asked by admin @ in Math viewed by 82 persons

a two digit number is such that the product of its digits is 18.when 63 is subtracted from the number,the digits interchange their places.find the number.

Sum of two prime numbers is always even

Asked by admin @ in Math viewed by 141 persons

Sum of two prime numbers is always even

Most viewed questions in Math


Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 10904 persons


Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 9666 persons


The town of p is located at point x

Asked by admin @ in Math viewed by 9492 persons


A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 8350 persons


Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 7673 persons



Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 6975 persons


Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 6835 persons


What is the value of x in the expression

Asked by admin @ in Math viewed by 6582 persons


The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 5741 persons


In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 5264 persons



The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 4751 persons


Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 3883 persons


Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 3526 persons


What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 3461 persons


Five friends are sitting in a row facing north

Asked by admin @ in Math viewed by 3347 persons