two numbers are such that the ratio between them is 3:5 if it is increased by 10 the ratio between them so form is5:7 find the original number.
Answers
Answered by
2
Step-by-step explanation:
Answer
A] Let the two numbers be x,y
y
x
=
5
3
⇒x=
5
3
y
y+10
x+10
=
7
5
=7x+70=5y+50
=7x+20=5y
=7x+20=5y=0
=7(
5
3
)y+20−5y=0
=21y+100−25y=0
=100−4y=0
=100=4y
∴y=25
x=
5
3
×25=15
Thus numbers are 15,25
Answered by
2
Let the ratio,3:5 be taken as 3x and 5x
BTP,
If the ratios are increased by 10 i.e,
3x+10 and 5x+10
BTP,
3x+10+5x+10=5x+7x
8x+20=12x
8x-12x=-20
-4x=-20
x=-20/-4
=5
Therefore,the original ratio 3x and 5x
3x=3×5=15
5x=5×5=25
Hope it helps!!
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