Question

two numbers are in the ratio 5:8.if the sum of the numbers is 182. find the number.​

Answer 1

Answer:

two numbers are in ratio 5 : 8

sum of the numbers is 182

1st number is 5*182/(5+8)

=5*182/13

=5*14

=70

2nd number is 8*182/(5+8)

=8*182/13

=8*14

=112

Answer 2

Given ratio

5 : 8

To find

2 nos.

Solution

Let 2 nos be 5a and 8a.

.......where a is some no.

Sum of no. = 182

5a + 8a = 182

13a = 182

a = 182/13

a = 14

Therefore

5a = 5 * 14 = 70

8a = 8 * 14 = 112

Hence the 2 nos. are 70 and 112

Verification....

5a + 8a = 182

70 + 112 = 182

182 = 182

....... Here LHS = RHS

Or

Ratio of 70 and 112

70 : 112.......(÷2)

35 : 56.......(÷7)

5 : 8

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