The sum of two numbers is 45 and one is twice the other. What is the smaller number?

a)
30

b)
35

c)
15

d)
25

Correct answer is option 'C'. Can you explain this answer?

Question

The sum of two numbers is 45 and one is twice the other. What is the smaller number?a)30b)35c)15d)25Correct answer is option 'C'. Can you explain this answer?

Answer

To solve this problem, we can use algebraic equations. Let's assume that the smaller number is x.

Given that one number is twice the other, we can express the larger number in terms of the smaller number as:

Larger number = 2x

And the sum of the two numbers is 45, so we can write the equation:

x + 2x = 45

Simplifying the equation, we have:

3x = 45

Dividing both sides of the equation by 3, we get:

x = 15

Therefore, the smaller number is 15.

So, option C, 15, is the correct answer.

Answer

Let x and y are the no. in first case: x+y=45. (equation 1) in second case:- X=2y or X—2y=0 (equation 2) now,by solving the equation by elimination method WE GET—:. Y—(—2Y)=45 3Y=45 Y=45/3 Y=15

Answer

Let 1st no.=x , Then 2nd no.=45-x Atq,x=2(45-x) =>x=90-2x => 3x=90 so,x=30, Now,1st no=x=30; 2nd no.=(45-x)=45-30=15; Hence,15 is smallest among both...so,Option (C) is the correct answer. ..

Answer

Let the first number be 'x' and second number be '2x' (one number is twice the other one) Sum of the numbers=45 x+2x=45 3x=45 x=15 Now,One number is 15 and it is given that second number is twice the other... So,2×15=30 So,the smaller number is 15.....

Answer

Let smaller number be x
larger number be y so,
equation 1 we get x+y=45
one is twice the other so
x=2y
put the value of x in equation 1
2y+y=45
3y=45
y=45÷3
=15
and twice will be 2×15=30
so smaller is 15 and
larger is 30

Answer

Let the smaller number be x.
Then, the larger number be 2x.
According to the question,
x+2x=45
Hence, 3x=45
Hence, x=15.
Hence, the smaller number is 15.

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