Question
Two numbers M and N are in the ratio 8:11 respectively.
If 32 is added to M, the result becomes 80% of N. Find the square of the difference between M and N.Solution
Let M and N be 8x and 11x respectively
ATQ:
8x + 32 = (80/100) × 11x
8x + 32 = 8.8x
8.8x - 8x = 32
0.8x = 32
x = 40 So, M = 8 × 40 = 320
N = 11 × 40 = 440
Difference = 440 - 320 = 120
Required number = 120² = 14400
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