Question

Two numbers are in the ratio 5:2. When 9 is subtracted from each number th
will be in the ratio 7:2 What is the sum of these two numbers?
​

Answer 1

Step-by-step explanation:

when, 5:2 and 7:2 is summed..

then, 12:4.. it will give 3:1..

Answer 2

ANSWER :-

The sum of the numbers is : 78.75

EXPLANATION :-

Let the common ratio be 'x'.

Then,

Numerator = 5x

Denominator = 2x

Ratio = 5x : 2x

According to the question,

$\frac{5x - 9}{2x - 9} = \frac{7}{2} \\ 2(5x - 9) = 7(2x - 9) \\ 10x - 18 = 14x - 63 \\ 10x - 14x = 18 - 63 \\ - 4x = - 45 \\ 4x = 45 \\ x = \frac{45}{4} \\ x = 11.25$

Now,

5x = 5 × 11.25 = 56.25

2x = 2 × 11.25 = 22.50

Sum of the numbers = 56.25 + 22.50

= 78.75