Question

Sum of two numbers is 50.If the ratio of two numbers is 5:2 calculate the number

Answer 1

Answer:

The numbers are 250/7 & 100/7

Step-by-step explanation:

Let 5 : 2 be 5x & 2x.

The sum of both the number is 50; i.e. 5x + 2x = 50.....

We'll have to find the number...

Equation:

Sum of 2 numbers = 50

⇒ 5x + 2x = 50

⇒ 7x = 50

Bring the multiple of 'x' to the other side of the equation,

⇒ x = 50 ÷ 7 ⇔ x = 50/7

Now, the numbers are 5x & 2x;

5x = 5 × 50/7 =  250/7...

2x = 2 × 50/7 = 100/7...

Review:

5x + 2x = 50

Replace the numbers respectively...

⇒ 250/7 + 100/7 = 50

Add the numerators..

⇒ (250 + 100)/7 = 50

⇒ 350/7 = 50

Divide the numerator by denominator...

⇒ 350 ÷ 7 = 50

⇔ 50 = 50

Therefore, L.H.S. = R.H.S

HENCE PROVED....

Here you go!!!

Hope you have understood...

Answer 2

Answer:

The 2 numbers are 28 and 35.72

Step-by-step explanation:

Let the 2 numbers are x and y

We had given that the sum of the 2 numbers is 50, i.e,

x+y=50 ----eq(1)

And the ratio of the numbers is 5:2, i.e.

$\dfrac{x}{y} =\dfrac{5}{2}$   ------eq(2)

From equation(2), we get 2x=5y

$x =\dfrac{5y}{2}$

Now putting the value of 'x' in equation(1) we get,

$\dfrac{5y}{2}+y =50$

5y + 2y=100

 7y = 100

 y = 14.28

Now putting value of 'y' in equation(1) we get,

 x+14.28=50

 x = 50-14.28

 x = 35.72