In a three digit number the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?a)356b)456c)436d)626e)516Correct answer is option 'C'. Can you explain this answer?

Question

In a three digit number the digit in the unit&rsquo;s place is twice the digit in the ten&rsquo;s place and 1.5 times the digit in the hundred&rsquo;s place. If the sum of all the three digits of the number is 13, what is the number?a)356b)456c)436d)626e)516Correct answer is option 'C'. Can you explain this answer?

Answer

1st explanation

given that, the sum of three digits is 13
436 is the only number whose sum of three digits is 13

second explanation

units digit is twice the digit of ten's and this condition only applicable to option c

hence 436 is the answer

Answer

's place is twice the digit in the tens place and three times the digit in the hundreds place. If the digits are distinct, what is the number?

Let the hundreds, tens and units digits be $h$, $t$, and $u$ respectively. We are given that:

$u=2t$
$u=3h$

Since $u$ cannot be $0$ (the digits are distinct), we know that $t$ cannot be $0$ either. Therefore, $u$ must be even, and the only even digit is $8$. Thus, $t=4$ and $u=8$. Substituting these values into the given equations, we get:

$h=2$
Therefore, the number is $\boxed{248}$.

Answer

436 the answer
2x /1.5 + x + 2x =13
then x=3 (by solving)

Answer

Let units digit = z
then z = 2y that gives y=z/2
similarly z=1.5x that gives x= 2z/3

now sum = 13 which gives (2z/3 )+(z/2)+(z) = 13
after doing the sum it gives 13z/6 = 13
thus z=6
which gives x=4 and y=3
thus the number is 436

Answer

236

Answer

436

Answer

C

Answer

100a+10b+c
c=2b, c=1.5a ,a+b+c=13

b:c= 1:2 ,a:c= 2:3

a:b:c = 4:3:6

a+b+c=4x+3x+6x=13x=13

x=1

a=4,b=3,c=6

number=436

Answer

100a + 10b + c
c = 2b → b = c/2
c = 1.5a → a = c/1.5
c/1.5 + c/2 + c = 13
6.5c = 39
c = 6, b = 3, a = 4 ⇒ 436

Similar Quant Doubts

The ratio between a two-digit number and the sum of the digits of that number is 3:1. If the digit in the unit’s place is 5 more than digit at ten’s place, what is the number?

In a two digit positive number, the digit at the units place is equal to the square of the digit in ten’s place and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number?

The sum of the factorials of the three-digits of a 3-digit number is equal to the three-digit number formed by these three digits, taken in the same order. Which of the following is true of the number of such three-digit numbers, if no digit occurs more than once?

Let S be a two-digit number such that both S and S2 end with the same digit and none of the digits in S equals zero. When the digits of S are written in the reverse order, the square of the new number so obtained has the last digit as 6 and is less than 3000. How many values of S are possible?

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company