Answered

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One number is 5 less than twice a number.if the sum of two numbers is 76 what is the smaller number ?

Sagot :

kevinclq0811

Answer:

the smaller number is 27.

Step-by-step explanation:

set two numbers are a and b

one number is less that twice of a number:

let's say a is 5 less than twice of b

so we have : a=2b-5

sum of the two numbers is 76: we have a+b=76

then we set up the system of equation[tex]\left \{ {{a=2b-5} \atop {a+b=76}} \right.[/tex]

substitude a = 2b - 5 into the second equation

we have,

2b - 5 + b = 76

3b - 5 = 76

3b = 81

b = 27

Since a + b = 76 so a = 49

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