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mart [117]
2 years ago
15

One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.

Mathematics
1 answer:
OLEGan [10]2 years ago
8 0

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

<em>x = 5y - 6 </em> This is just the first sentence written as an equation.

<em>x + y = 60</em> This is just the second sentence written as an equation.

<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to

<em>6y - 6 = 60</em> Collect like terms

<em>6y = 66</em> Add 6 to each side

<em>y = 11</em> Divide each side by 6

<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is

<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55

<em>x = 49</em> Subtract 6 from 55 to get 49

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