Question

read each problem carefully and sold as required and answer the questions that follow​

Answer 1

Step-by-step explanation:

Given:-

The sum of two numbers is 90.The larger number is 14 more than 3 times the smaller number.

To find:-.

Find the numbers ?

Solution:-

Let the smaller number be "y"

and the larger number be "x"

according to the problem

Conditon-1:

Sum of two numbers =90

=>x+y=90----(1)

Condition-2:-

The larger number is 14 more than 3 times the smaller number.

=>x=3y+14-----(2)

=>x-3y=14-----(3)

On subtracting eqns. (1)&(3) to eliminate x terms

x+y=90

x-3y=14

(-)

________

0+4y=76

________

=>-2y=76

=>y=76/4

=>y=19

Substitute the value of y in (1 )then

=>x+(19)=90

=>x=90-19

=>x=71

The value of x=71

The value of y=19

Answer:-

The larger number=71

The smaller number=19

Check:-

1)their sum =71+19=90

2)3(19)+14=57+14=71

Verified✅

Answers for the given questions:-

1)x+y=90 and x-3y=14

2)elimination method

3)71 and 19

Answer 2

Answer:

Answer :- 1.

The two equations are

$\bf \:x + y = 90$

$\bf \:y - 3x = 14$

where,

• Smallest number is x
• Largest number is y

Answer :- 2

There are four methods to solve pair of linear equations :-

1. Substitution Method
2. Elimination Method
3. Cross Multiplication Method
4. Graphical Method

We prefer here Substitution Method

• The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Answer :- 3

Largest number is 71 and smallest number is 19.

Step-by-step explanation:

Let largest number be 'y' and smallest number be 'x'.

★ Case :- 1.

The sum of two number is 90.

$\bf\implies \:x + y = 90........(1)$

★ Case :- 2.

The largest number is 14 more than 3 times the smallest number.

$\bf\implies \:y = 14 + 3x.....(2)$

Substituting the value of y from (2) to equation (1), we get

$\bf\implies \:x + 3x + 14 = 90$

$\bf\implies \:4x + 14 = 90$

$\bf\implies \:4x = 90 - 14 = 76$

$\bf\implies \:x = {\cancel\dfrac{76}{4} \: 19}$

Put x = 19 in equation (1), we get

$\bf\implies \:19 + y = 90$

$\bf\implies \:y = 71$