Question

the difference between two numbers is 54 four times the smaller number is less than the greater number by 3.find the number​

Answer 1

✬ Smaller Number = 17 ✬

✬ Larger Number = 71 ✬

Step-by-step explanation:

Given:

• Difference between two numbers is 54.
• Four times the smaller number is less than the greater number by 3.

To Find:

• What are the numbers ?

Solution: Let the smaller number be x and greater number be y. Therefore,

➟ y – x = 54

➟ y = 54 + x ㅤㅤㅤㅤㅤ(eqⁿ i )

Now , A/q

• Four times the smaller number is less than the greater number by 3.

• 4x = y – 3

$\implies{\rm }$ 4x = y – 3

$\implies{\rm }$ 4x = 54 + x – 3

$\implies{\rm }$ 4x – x = 51

$\implies{\rm }$ 3x = 51

$\implies{\rm }$ x = 51/3

$\implies{\rm }$ x = 17

So , the smaller number is 17.

➮ Larger number = 54 + 17

➮ y = 71

Hence, both numbers are 17 & 71.

Answer 2

Answer:

17 AND 71

Step-by-step explanation:

GIVEN,

THE DIFFERENCE BETWEEN TWO NUMBERS IS 54.

LET THE SMALLER NUMBER BE y.

THE GREATER NUMBER = x

A/Q x - y = 54

x = 54 + y ....(i)

AGAIN,

FOUR TIMES THE SMALLER IS LESS THAN THE GREATER NUMBER BY 3.

x - 4y = 3 ....(ii)

On putting the value of x in (ii),

54 + y - 4y = 3

=> -3y = 3 - 54

=> -3y = - 51

=> y = -51/-3

y = 17

On putting the value of y in (i),

x = 54+y = 54+ 17 = 71

THE SMALLER NUMBER = 17

THE GREATER NUMBER = 71 ANS.