Two numbers Ratio is 7:4 and their difference is 15 which are the two numbers
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Answer:
Given :
The ratio of two numbers is 7:4.
Their difference is 15.
To find :
The two numbers.
Solution :
Consider,
1st number = 7x
2nd number = 4x
{\underline{\sf{According\: to\:the\: question:-}}}
Accordingtothequestion:−
Their difference is 15.
\mapsto\sf{1st\: number-2nd\: number=15}↦1stnumber−2ndnumber=15
\mapsto\sf{7x-4x=15}↦7x−4x=15
\mapsto\sf{3x=15}↦3x=15
\mapsto\sf{x=\dfrac{15}{3}}↦x=
3
15
\mapsto\sf{x=5}↦x=5
1st number = 7×5 = 35
2nd number = 4×5 = 20
___________________
Verification :-
1st number = 35
2nd number = 20
Ratio of two numbers = 7:4
→ 35 :20 = 7:4
→ 7:4 = 7:4
Difference between two numbers = 15
→ (35-20) = 15
→ 15 = 15
Hence Verified !
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