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love history [14]
3 years ago
13

Please help me _/\_Thank you :)​

Social Studies
2 answers:
Rasek [7]3 years ago
7 0

Answer:

Solution given:

let smaller number be a and bigger be b.

According to the question;

2a+3b=34.......[1]

2b-5a=9

5a-2b=-9.........[2]

Multiplying equation 1 by 5 and equation 2by 2 and subtracting equation we get

10a+15b=34*5

10a -4b=-9*2

<u>-</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u>. </u><u> </u><u> </u>

<u>1</u><u>9</u>a=188

a=188/19

substituting value of a in equation 1

2*188/19+3b=34

3b=34-376/19

b=270/19*1/3

b=90/19

<u>188/19</u><u> </u><u>and</u><u> </u><u>90/19</u><u> </u><u> </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>number</u><u>.</u>

ale4655 [162]3 years ago
5 0

Make equations first

Consider bigger number is X and smaller number is Y

condition 1,

3X+3Y = 34----------eq 1

condition 2,

2X-5Y = 9-------------eq 2

multiply eq 1 by 2 and eq 2 by 3,

6X+6Y = 68

6X-15Y = 27

Substracting above equation,

21Y = 41

Y = 41/21

Substituting Value of Y in eq 1,

3X+3×41/21 = 34

3X = 34-41/7

3X = (238-41)/7

3X = 197/7

X = 197/21

Hence X = 197/21 and Y = 41/21

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