5. The sum of two numbers is 9. The difference
of five times the first number and thrice the
other number is 5. Find the numbers.
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Let first number be M and other number be N.
☞ The sum of two numbers is 9.
=> M + N = 9
=> M = 9 - N __________(eq 1)
☞ The difference (subtract) of five times (times = multiply) the first number (M) and thrice (three times) the other number (N) is (equal to) 5.
A.T.Q.
=> 5M - 3N = 5
=> 5(9 - N) - 3N = 5
=> 45 - 5N - 3N = 5
=> - 8N = 5 - 45
=> - 8N = - 40
=> 8N = 40
=> N = 5
• Put value of N in (eq 1)
=> M = 9 - (5)
=> M = 4
_______________________________
Numbers are :
4 and 5
__________________[ANSWER]
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