Two times a number added to Three times another number we get 50.Two times the second number subtracted from four times the first, we get 36. what are the numbers?
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Answer:
The two numbers are 13 and 8
Step-by-step explanation:
Let the two numbers be x and y .
∴ From first condition ,
2x + 3y = 50 -----(1)
And , from second condition ,
4x - 2y = 36 ----(2)
∴ Multiplying (1) by 2 , we get
4x + 6y = 100 -----(3)
∴ Subtracting (2) from (3) , we get
8y = 64
∴ y = 8
Put y = 8 in (1) , we get
2x + 24 = 50
∴ 2x = 26
∴ x = 13
∴ The two numbers are 13 and 8 .
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