Math, asked by shresth491, 1 month ago

Two numbers are in the ratio 2:3. If the larger number is 30 more than half of the smaller, find the
numbers.​

Answers

Answered by vk591262
0

Step-by-step explanation:

Let the two numbers be x and y such that y > x

Since, they mentioned that the larger number is 30 more than the half of the smaller number, we xan write is as ;

y = 30 + x/2 ➡️ eq (1)

And. x : y = 2 : 3. ( As given in the question )

By cross multiplication,

We get x = 2/3 (y)

And x/2 =y/3

So, now let's substitute the value of x in eq (1)

So, we get

y = 30 + y/3

(y) - (y/3) = 30

So by taking L.C.M in the L.H.S part, we get

(3y - y)/ 3= 30

2y= 30×3 = 90

And. y= 45

And as we know ,

x = 2/3(y) = 2/3 (45) = 30

So the two numbers are 30 and 45

Hope it helps !

Answered by abdullahunofficialcr
0
Let us consider the two numbers to be x and y So, x:y=2:3 3x=2y And, y- (x/2)=30 2y-x=60 3x-x=60 2x=60 x= 30 So, y=45
Similar questions