Two numbers are in the ratio 1:2 . If 7 is added to both , their ratio changes to 3:5 . Find the greatest number ?
By Akshaya, Posted on 06/04/2021 - 4 Comments
0 words / 30
Answers (4)
Posted by Harshdev Jhirmiria on 08/04/2021

Let the two numbers be x and y.

Therefore, x/y=1:2

2x=1y

y=2x.........(i)

When 7 is added to both, x+7/y+7=3/5

X+7/y+7=3/5

5x+35=3y+21

5x-3y=-14.......(ii)

Now, by substituting in equation (ii)

5x -3y=-14

5x-3(2x)=-14

5x-6x=-14

X=14

Now by substituting X value in equation (i)

Y=2x

Y=2×14

Y=28

Therefore the greater number is 28.

Posted by Hussaina on 08/04/2021

let 1 : 2 be x : 2x

according to the question, x+7/2x+7 = 3/5

cross-multiplication, 5(x+7) = 3(2x+7)

5x+35 = 6x+21

35-21 = 6x-5x

14 = x

as x=14, 2x=28.

therefore when 7 is added to the numerator and denominator, the ration becomes 21 : 35

Hence, the answer is i.e., the greatest number is 35.

Posted by Prasad Mahadeo Sonone on 07/04/2021

Let 2 numbers be x and y

From condition 1,

x/y = 1/2 that implies 2x=y ......(1)

From condition 2,

(x+7)/(y+7) = 3/5

That implies

3y+21 = 5x+35

(5x+14)/3=y .....(2)

Subtracting (2)-(1)

(5x+14)/3 - 2x = 0

Hence

(5x +14 -6x)/3 = 0

(-x +14) = 0

-x = -14

x = 14

Substituting value of 'x' in equation (1)

2×14 = y

y = 28

The greatest number is 28

Posted by Archana Sood on 07/04/2021

Suppose the numbers are x and 2x. The ratio is 1:2. So x/2x = 1/2

if 7 is added, their ratio changes to 3:5.

x+7/2x+7 = 3/5.

5(x+7) = 3(2x+7)

6x+21 = 5x+35

x = 14

so the numbers are 14 and 28 and 28 is the greatest number

Related Questions
Answered in Mathematics
Can you say how maths came into the world?

Ancient Sumerians from Mesopotamia, developed mathematics thousands of years ago. Soon after it reached the world through many scientists they also discovered addition ,subtraction ,multiplication and division. Pythagoreans used and studied mathematics in the begining of 6th century B.c.

(FULL ANSWER)

Answered in Mathematics
how to calculate surface of volume ?

No one Answered! (Answer here!)

Answered in Mathematics
What is the formula for calculating profit % ?

No one Answered! (Answer here!)

Answered in Mathematics
What is the formula for calculating time and work ?

No one Answered! (Answer here!)

Answered in Mathematics
What is boolean algebra and what are its uses?

No one Answered! (Answer here!)