The product of two numbers is 2475 and their quotient is 11/9.Find the numbers.
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Hi ,
let x and y are two numbers ,
product of two numbers = 2475
xy = 2475
x = 2475 / y ----( 1 )
quotient = 11/9
x / y = 11/ 9
( 2475 / y ) / y = 11/ 9 [ from ( 1 ) ]
2475 / y² = 11 / 9
( 2475 × 9 ) / 11 = y²
225 × 9 = y²
y = √ ( 225 × 9 )
= √ ( 15 × 15 ) × ( 3 × 3 )
= 15 × 3
y = 45
put y = 45 in equation ( 1 ) , we get x value
x = 2475 / 45
x = 55
Therefore ,
required two numbers are x = 55 and y = 45
I hope this helps you
:)
let x and y are two numbers ,
product of two numbers = 2475
xy = 2475
x = 2475 / y ----( 1 )
quotient = 11/9
x / y = 11/ 9
( 2475 / y ) / y = 11/ 9 [ from ( 1 ) ]
2475 / y² = 11 / 9
( 2475 × 9 ) / 11 = y²
225 × 9 = y²
y = √ ( 225 × 9 )
= √ ( 15 × 15 ) × ( 3 × 3 )
= 15 × 3
y = 45
put y = 45 in equation ( 1 ) , we get x value
x = 2475 / 45
x = 55
Therefore ,
required two numbers are x = 55 and y = 45
I hope this helps you
:)
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