Question

Two numbers are in the ratio 1:2 If first number is decreased by 5 and second number is increased by 4 their ratio becomes 5:4 Find the two numbers

Answer 1

take x
X:2x
if X is decreased by 5=x-5.
if 2x is increased by 4,2x+4.
x-5:2x+4=5:4
4x-20 =10x+20
10x-4x=-20-20
6x=-40
X=-40/6
therefore,1stno.=-40/6and 2nd no.=2*-40/6=-80/6.

Answer 2

Given,

Two numbers are in the ratio 1:2.

If the first number is decreased by 5 and the second number is increased by 4 their ratio becomes 5:4.

To find,

The two numbers.

Solution,

The first number and second number will be -20/3 and -40/3 respectively.

We can easily solve this problem by following the given steps.

According to the question,

Two numbers are in the ratio 1:2.

Let's take the first number to be x and the second number to be y.

x/y = 1/2

y = 2x --- (1)

Now,

If the first number is decreased by 5 and the second number is increased by 4 their ratio becomes 5:4.

(x-5)/(y+4) = 5/4

Using the cross multiplication method,

4(x-5) = 5(y+4)

4x-20 = 5y+20

Putting the value of y from equation 1,

4x-20 = 5(2x)+20

(4x-20) = 10x+20

Moving 10x to the left-hand side and 20 to the right-hand side,

4x-10x = 20+20

-6x = 40

x = -40/6

x = -20/3

Putting the value of x in equation 1,

y = 2x

y = 2(-20/3)

y = -40/3

Hence, the two numbers are -20/3 and -40/3.