Question

The product of two numbers is 154. If the difference between two number is 3 . Find the number

Answer 1

{Hope it might help you!!}

Answer 2

The numbers are (11,14) or (-11,-14).

Step-by-step explanation:

Given : The product of two numbers is 154. If the difference between two number is 3 .

To Find : The number ?

Solution :

Let the numbers be 'x' and 'y'.

The product of two numbers is 154.

i.e. $xy=154$ .....(1)

If the difference between two number is 3 .

i.e. $x-y=3$ ......(2)

Solving equation (1) and (2),

Substitute the value of x=3+y from (2) in (1),

$(3+y)y=154$

$3y+y^2=154$

$y^2+3y-154=0$

$y^2+14y-11y-154=0$

$y(y+14)-11(y+14)=0$

$(y+14)(y-11)=0$

$y=-14,11$

Substitute the value in (2), x-y=3

When y=-14,

$x+14=3$

$x=-11$

So, the numbers are -11 and -14.

When y=11,

$x-11=3$

$x=14$

So, the numbers are 11 and 14.

#Learn more

The product of two numbers is 154 and the  sum of these two numbers is 25. Find the  difference between the numbers.​

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