Jump to

- Rational and Irrational Numbers
- Compound Interest
- Expansions
- Factorization
- Simultaneous Linear Equations
- Problems on Simultaneous Linear Equations
- Quadratic Equations
- Indices
- Logarithms
- Triangles
- Mid Point Theorem
- Pythagoras Theorem
- Rectilinear Figures
- Theorems on Area
- Circle
- Mensuration
- Trigonometric Ratios
- Trigonometric Ratios and Standard Angles
- Coordinate Geometry
- Statistics

A number of three digits has a hundred digits 4 times the unit digit and the sum of three

digits are 14. If the three digits are written in the reverse order, the value of the number is

decreased by 594. Find the number.

Answer:

Let’s consider the digit at tens place as x

And let the digit at unit place be y

Then, the digit at hundred place = 4y

Hence, the number is 100 x 4y + 10 × x + y × 1 = 400y + 10x + y = 401y + 10x

So, reversing the number = 100 × y + 10 × x + 4y × 1 = 100y + 10x + 4y = 104y + 10x

Then according to the first condition given in the problem, we have

x + y + 4y = 14

x + 5y = 14 … (i)

And according to the second condition given in the problem, we have

401y + 10x = 104y + 10x + 594

401y – 104y = 594

297y = 594

y = 594/297

y = 2

On substituting the value of y in equation (i), we have

x + 5(2) = 14

x + 10 = 14

x = 14 – 10

x = 4

Therefore, the number is = 10x + 401y = 10(4) + 401(2) = 40 + 802 = 842.

"hi guys welcome to lido q a video
i am vinit your leader tutor bringing
you this question on your screen
a number of three digits has a hundredth
digit four times the units digit
and the sum of three digits are 14.
if the digits are written in the reverse
order the value of the number is
decreased by 594 find the number
now let the tens digit be x and the
units digit be y
then hundreds digit will be four y right
four times the units then the number we
get it as
10 x plus 401 y and the reverse will be
10 x plus
104 y now
from first condition
we get
sum of all the three digits that is
x plus y plus 4y is equal to 14.
this implies x plus 5 y is equal to 40.
this will be equation 1. again
when the digits are reversed the number
becomes
less by 594 right
so we can say that 10x
plus 401 y this is the number
minus 594 is equal to 10x
plus 104 y
so 10x and 10x will subtract and become
zero
so 401 y minus 104 y
is equal to 594 therefore 297 y
is equal to 594 this implies y is equal
to
2 replacing y is equal to 2 in
equation 1 we get
x plus 5 into 2 is equal to
14 this implies x is equal to
40. therefore
the number is 401 into 2
plus
10 into x so x is equal to 4
not 14.
so this is equal to 802 plus 40
so this is equal to 842 isn't that easy
guys
if you still have a doubt please leave a
comment below do like the video and
subscribe to our channel
i'll see you in our next video until
then bye guys
keep learning keep flourishing
"

Related Questions

Was This helpful?

Chapters

Lido

Courses

Quick Links

Terms & Policies

Terms & Policies

2022 © Quality Tutorials Pvt Ltd All rights reserved