Question

six times a number and seven times another added together make 86. six times the first number added to five times the second number gives 70. find the numbers​

Answer 1

$\huge\mathbb\blue{♡Answer♡}$

Lets take one number be x

and another be y

lets form an equation.

6x + 7y = 86--------(1)

6x +5y = 70--------(2)

.

6x +5y = 70

6x = 70-5y---->equation 1

apply this in (1)

70-5y +7y= 86

70+ 2y = 86

2y = 86-70

2y= 16

y= 8

now put the y value in equation

6x+5(8)= 70

6x+40= 70

6x = 30

x= 5

proof

6(5)+5(8)=70

30+40=70

Answer 2

SOLUTION

GIVEN

• Six times a number and seven times another added together make 86.

• Six times the first number added to five times the second number gives 70.

TO DETERMINE

The numbers

EVALUATION

Let

First number = x

Second number = y

By first condition

6x + 7y = 86 - - - - - (1)

By the second condition

6x + 5y = 70 - - - - - - (2)

Equation 1 - Equation 2 gives

2y = 16

⇒ y = 8

From Equation 1 we get

6x = 86 - 7y

⇒ 6x = 86 - 56

⇒ 6x = 30

⇒ x = 5

FINAL ANSWER

First number = 5

Second number = 8

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