Question

.
. Two numbers are in the ratio 4:5. If 7 is subtracted from each of them, then the ratio becomes
3:4. Find the numbers.​

Answer 1

Answer:

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Step-by-step explanation:

Two numbers are in ratio 4:5. If 7 is subtracted from each of them the ratio becomes 3:4. What are the two numbers?

Let  m  and  n  denote the two numbers.

mn=45  

⟹mn=4t5t, t≠0,  

⟹m=4t and n=5t.  

m−7n−7=34  

⟹m−7n−7=3u4u, u≠0,  

⟹4u(m−7)=3u(n−7)  

⟹4u(4t−7)=3u(5t−7)  

⟹16tu−28u=15tu−21u  

⟹16tu−15tu=28u−21u  

⟹tu=7u  

⟹t=7.  

∴m=4(7)=28  

and n=5(7)=35  

are the two numbers.