The average height of three kids is 56 cm and their heights are in the proportion of 7 8 9 Find the ...........

Quantitative Aptitude (CPO) Ratio, Proportion

The average height of three kids is 56 cm and their heights are in the proportion of 7 : 8 : 9. Find the heights of all the three.

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 1

42 cm, 48 cm, 54 cm

56 cm, 64 cm, 72 cm

35 cm, 40 cm, 45 cm

49 cm, 56 cm, 63 cm

Let’s solve the problem:

- The average height of three kids = 56 cm

- So, total height = 56 × 3 = 168 cm

- Their heights are in the ratio 7 : 8 : 9

- Let their heights be 7x, 8x, 9x

- So, 7x + 8x + 9x = 168 ? 24x = 168 ? x = 7

Thus, the heights are:

- First kid: 7x = 49 cm

- Second kid: 8x = 56 cm

- Third kid: 9x = 63 cm

Let’s review the options:

- Option 1: 42 cm, 48 cm, 54 cm

- Option 2: 56 cm, 64 cm, 72 cm

- Option 3: 35 cm, 40 cm, 45 cm

- Option 4: 49 cm, 56 cm, 63 cm

Correct Answer:

Option 4 – 49 cm, 56 cm, 63 cm

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