Question

The product of two numbers is 266 and their difference is 5. what is the bigger number ?

Answer 1

the two number is=14 and 19

explain
14×19=266
difference =14 and 19 is 5
I hope it helps uhh...,

Answer 2

The bigger number is 19

Given :

The product of two numbers is 266 and their difference is 5

To find :

The bigger number

Solution :

Step 1 of 3 :

Form the equation to find the numbers

Let the bigger number = x

Here it is given that the difference of two numbers is 5

So another number = x - 5

Now it is given that product of two numbers is 266

By the given condition

x(x - 5) = 266

Step 2 of 3 :

Find the numbers

$\displaystyle \sf{ x(x - 5) = 266 }$

$\displaystyle \sf{ \implies {x}^{2} - 5x - 266 = 0}$

$\displaystyle \sf{ \implies {x}^{2} - (19 - 14)x - 266 = 0}$

$\displaystyle \sf{ \implies {x}^{2} - 19x + 14x - 266 = 0}$

$\displaystyle \sf{ \implies x(x - 19) + 14(x - 19) = 0}$

$\displaystyle \sf{ \implies (x - 19)(x + 14) = 0}$

x - 19 = 0 gives x = 19

x + 14 = 0 gives x = - 14

Since the number is not negative

∴ x ≠ - 14

∴ x = 19

So the numbers are 19 and 14

Step 3 of 3 :

Find the bigger number

Since the numbers obtained are 19 and 14

Hence the bigger number = 19

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