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8. Let the no.s be 2x and 5x respectively.
∴ 5x - 2x = 15
⇒ 3x = 15
⇒ x = 15/3
⇒ x = 5
∴ 2x = 2 x 5 = 10 and 5x = 5 x 5 = 25
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9. Let x be added to each term to form terms in proportion.
So, we have,
12 + x/ 22 + x = 42 + x/ 72 + x
⇒ (12 + x)(72 + x) = (22 + x)(42 +x)
⇒ 864 + 12x + 72x + x² = 924 + 22x + 42x + x²
⇒ 84x - 64x = 924 - 864
⇒ 20x = 60
⇒ x = 60/20
⇒ x = 3
∴ Required numbers are 12 + 3 = 15
22 + 3 = 25
42 + 3 = 45
72 + 3 = 75
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∴ 5x - 2x = 15
⇒ 3x = 15
⇒ x = 15/3
⇒ x = 5
∴ 2x = 2 x 5 = 10 and 5x = 5 x 5 = 25
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9. Let x be added to each term to form terms in proportion.
So, we have,
12 + x/ 22 + x = 42 + x/ 72 + x
⇒ (12 + x)(72 + x) = (22 + x)(42 +x)
⇒ 864 + 12x + 72x + x² = 924 + 22x + 42x + x²
⇒ 84x - 64x = 924 - 864
⇒ 20x = 60
⇒ x = 60/20
⇒ x = 3
∴ Required numbers are 12 + 3 = 15
22 + 3 = 25
42 + 3 = 45
72 + 3 = 75
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shaharyar1:
please do it
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let the two no be 2x and 5x
such that 5x-2x=15
3x=15
x=15/3
x=5 Hence the no. are
5x5=25 and 2x5=10
required numbers are 10 and 25
such that 5x-2x=15
3x=15
x=15/3
x=5 Hence the no. are
5x5=25 and 2x5=10
required numbers are 10 and 25
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