The sum of two numbers is 60. The greater number is 8 more than thrice the smaller number. Find the numbers.

x be the greater number and y be smaller number

According to first statement in question

x+y=60 ------(equation 1)

According to second statement in question

x=3y+8

therefore , x-3y=8 -------(equation 2)

subtracting equation 1 from 2

x+y=60

- x-3y =8

- + -

____________

4y=52

y=13

now putting y=13 in equation 1

x+13=60

x=60-13 = 47

.: Greater number is 47 and smaller number is 13 !

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