36 is divided into part such that 5 time the first part added to 3 times the second part makes 142. the two partsare:-(a)10and26(b)12and24(c)15and21(d)17and19
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36 is divided into two parts such that 5 times of first part added to 3 times the second part makes 142. What is both parts?
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3 Answers
Shehab Mohamed Hosni Mohamed Ali Darwish
Shehab Mohamed Hosni Mohamed Ali Darwish, studied Mathematics & Association Football at 6th of October STEM Highschool (2019)
Answered May 24, 2018
x+y=36
5x+3y=142
by multiplying the first equation by 3
3x+3y=108
5x+3y=142
by subtraction the second equation from the first
(3–5)x+(3–3)y=108–142
-2x=-34
by division the two sides by -2
x=17
by substitution in the first equation
17+y=36
by subtraction 17 from both sides
y=19
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