Question

The product of two numbers us 78 and their deffenrence us 7.What is the bigger number

Answer 1

Answer:

13

Step-by-step explanation:

Because 13×6=78 and 13>6 so

13 will be the answer

Answer 2

Given:

The product of two numbers = 78

The difference of two numbers= 7

To find:

The Bigger Number out of the two

Solution:

Let the two numbers be x and y

keeping the numbers as x and y, their :

Product = x*y

Difference = x-y

x*y = 78 (given)

• By cross multiplication x = 78/y ( 1st equation)

x-y = 7

• Putting the first equation in place of x

78/y - y = 7

• Taking y as a denominator

$78 - {y}^{2} \div y = 7$

$78 - {y}^{2} = 7y$

${y}^{2} + 7y - 78 = 0$

• Using substitution method

${y}^{2} + 13y - 6y - 78 = 0$

• picking common terms

y(y+13)-6(y+13) = 0

(y-6)(y+13)

• We have two values of y 6 and -13
• putting y as 6

x = 78/6

= 13

Here, X is the bigger number which is 13.

The Bigger number is 13