Question

In: Math

Two numbers are in the ratio 3:5. When each of these numbers is increased by 10, their ratio becomes 5:7. Find the greater number.

Expert Solution

Let us consider the two numbers as x and y respectively

According to the given condition

x/y = 3/5

3y=5x—(i)

Also given that

x+10 / y+10 = 5/7

7x+70=5y+50

5y=7x +20—(ii)

So from equations (i) and (ii) we get

y=5x/3,y=7x+20/5

On equation the values of y we get

5x/3 = 7x+20/5

25x=3(7x+20)

25x=21x+60

4x=60

x=15

From (i)

y=5x/3 = 5(15) / 3 = 75/3 = 25

x =15 and y = 25.

Hence,the greatest number is 25.

The greatest number is 25.

Nikhil Thakur answered 2 years ago

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