two numbers are in the ratio 7:8 .if 3 is added to each of them , their ratio becomes 8:9.the numbers are
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Ratio of nos. = 7:8
Let nos. be 7x and 8x respectively.
If 3 is added to each of them, the nos. are 7x+3 and 8x+3
And, Hence their ratios becomes (7x+3):(8x+3).
But Acc. to question, when 3 is added, the ratios becomes 8:9.
∴(7x+3)/(8x+3)=8/9
⇒9(7x+3)=8(8x+3)
⇒63x+27=64x+24
⇒63x - 64x= 24 - 27
⇒-x = -3
∴x=3
Hence nos are 7x=7*3=21 & 8x=8*3=24. (Ans)
Let nos. be 7x and 8x respectively.
If 3 is added to each of them, the nos. are 7x+3 and 8x+3
And, Hence their ratios becomes (7x+3):(8x+3).
But Acc. to question, when 3 is added, the ratios becomes 8:9.
∴(7x+3)/(8x+3)=8/9
⇒9(7x+3)=8(8x+3)
⇒63x+27=64x+24
⇒63x - 64x= 24 - 27
⇒-x = -3
∴x=3
Hence nos are 7x=7*3=21 & 8x=8*3=24. (Ans)
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6
7x = 7 × 3 = 21
8x = 8 × 3 = 24
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