Math, asked by thanmayibalu6481, 7 months ago

The difference between two whole number is 66. The ratio of two number is 2:5, then numbers are
Options
60,6
100,33
110,44
99,33

Answers

Answered by veda124
0

Answer:

let, whole numbers be y, x

given y-x=66-----1

x:y=2:5

5x=2y[product of means equals to product if extremes]

5x-2y=0-----2

from 1

2y-2x=132------3

add 2 and 3

(5x-2y) +(2y-2x) =0-132

3x=132

x=44

y=x+66=44+66=110

therfore the numbers are 110 and 44

Hope helps you!!!!

Answered by TheVenomGirl
23

AnSwer :

  • Option 3 is correct!!

That is :

(110,44)✔️✔️

━━━━━━━━━━━━━━━

GiVen :

  • Difference between the two numbers = 66
  • Ratio of two numbers = 2 : 5

To FinD :

  • Both the numbers = ?

SoluTion :

  • Let the two numbers be 5x and 2x respectively,

According to the question,

\implies 5x - 2x = 66

\implies x( 5 - 2 ) = 66

\implies 3x = 66

\implies x = 66/3

\implies x = 22

So, the numbers are,

━━━━━━━━━━━━

1st no. 2x :

\implies 2x

\implies 2 × 22

\implies 44

━━━━━━━━━━━━

2nd no. 5x :

\implies 5x

\implies 5 × 22

\implies 110

Hence, the numbers are 44 and 110.

━━━━━━━━━━━━━━━

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