Question

З Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5. The greatest number is.​

Answer 1

Step-by-step explanation:

Given :-

Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5.

To find:-

Find the greatest number?

Solution :-

Given that

The ratio of two numbers = 1:2

Let the numbers be X and 2X

If 7 is added to both numbers then they will be

(X+7) and ( 2X+7)

Then the ratio of new numbers = (X+7):(2X+7)

According to the given problem

The new ratio = 3:5

=> (X+7):(2X+7) = 3:5

=> (X+7) / (2X+7) = 3 / 5

On applying cross multiplication then

=> 3(2X+7) = 5(X+7)

=> 6X + 21 = 5X+35

=> 6X - 5X = 35-21

=> X = 14

and 2X = 2(14) = 28

The two numbers = 14 and 28

The greatest number = 28

Answer:-

The greatest number for the given problem is 28

Check :-

The two numbers = 14 and 28

Their ratio = 14:28 = 14/28 = 1/2 = 1:2

If 7 is added to both then

14+7 = 21 and 28+7 = 35

Their ratio = 21:35 = 21/35 = 3/5 = 3:5

Verified the given relations in the given problem.

Used formulae:-

→ a:b can be written as a/b

Answer 2

Step-by-step explanation:

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