Increases 7430

The two numbers are in the ratio of 5:6. The first one decreases by ten, and the second one increases by 10, then these two numbers are in the ratio of 4:7. What are the numbers?

Correct answer:

a =  50
b =  60

Step-by-step explanation:


a=5/6·b
a-10 = 4/7·(b+10)

6a-5b = 0
7a-4b = 110

Pivot: Row 1 ↔ Row 2
7a-4b = 110
6a-5b = 0

Row 2 - 6/7 · Row 1 → Row 2
7a-4b = 110
-1.57b = -94.29


b = -94.28571429/-1.57142857 = 60
a = 110+4b/7 = 110+4 · 60/7 = 50

a = 50
b = 60

Our linear equations calculator calculates it.



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