Question

Two numbers are in the ratio 4:5 . if 5 is added to each number , the ratio become 13:16. Find the numbers​

Answer 1

Answer:

Let the ratio be 4x and 5x

according to the question

4x + 5 / 5x + 5 = 13 /16

16( 4x + 5) = 13( 5x + 5)

64x + 80= 65x + 55

64x - 65x = 55- 80

- x = (- 35 )

x= 35

4x = 35 × 4 = 140

5x = 35 × 5 = 175

no. are 140, 175

Answer 2

Answer:

leta/b=4/5 call this #1; then

(a+6)/(b+6)=13/16 call this #2

from #1 a/b=4/5 multiply each side by b

a=4b/5 now substitute into #2 we get:

(4b/5+6)/(b+6)=13/16

{(4b+30)/5}/(b+6)=13/16 multiply both sides by 5

(4b+30)/b+6)=13x5/16=65/16 multiply each side by 16

16(4b+30)/(b+6)=65

(64b+480)/(b+6)=65 multiply each side by (b+6)

64b+480= 65(b+6)

64b+480= 65b+390 now subtract 64b+390 from each side

90= b

since a=4b/5 =4x90/5 =72

therefore a=72 and b=90

Explanation:

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